ICTP - Scientific Activities

Scientific Activities

Schools, conferences, workshops, and meetings

Showing 8 records

Europe/Rome The German Research Foundation (DFG) and the International Center for Theoretical Physics (ICTP) are organizing a Workshop on Global Differential Geometry, to be held at the African Institute of Mathematical Sciences (AIMS) in Mbour, Sénégal, May 21 - 25, 2018. The workshop will focus on recent developments in Global Differential Geometry, in particular on symplectic and Poisson geometry, including foliations and Lie theory, as well as classical differential geometry with its connections to differential topology and global analysis. There are close relations to the index theory of elliptic operators, generalized complex geometry and geometric flows, all of which open the door to applications in mathematical physics. Summer School on Global Differential Geometry (14-18 May) web page: http://home.mathematik.uni-freiburg.de/mathphys/konf/diffgeo-summerschool/index.html Organizing Committee: Hamidou Dathe (Dakar) Bernhard Hanke (Augsburg) Aissa Wade (Penn State and AIMS Mbour) Katrin Wendland (Freiburg) DFG Coordinators: Carsten Balleier Alida Höbener Beate Wilhelm The list of speakers includes: Claudio Arezzo (ICTP) Augustin Banyaga (Penn State) Augustin Tshidibi Batubenge (South Africa) Kai Cieliebak (Augsburg) A. Degeratu (Stuttgart) Hassimou Diallo (Cote d’Ivoire) Abdoul Salam Diallo (Senegal) Cheikh Mbacke Diop* (Senegal) Jonathan Mboyo Esole* (Northeastern) Urs Frauenfelder (Augsburg) Sebastian Goette (Freiburg) Djideme Franck Houenou (Benin) El-Kaioum Mohamed Moutuou* (USF Florida) Karl-Hermann Neeb (Erlangen) Sylvie Paycha (Postdam) Philippe Rukimbira (FIU Florida) Thomas Schick (Göttingen) Léonard Todjihoundé (Benin) Joel Tossa (Benin) Burkhard Wilking (Münster) *to be confirmed Mbour - Senegal ICTP pio@ictp.it

Activity

21 May 2018 - 25 May 2018

@ Mbour - Senegal

Mathematics

Workshop on Global Differential Geometry | (smr 3205)

Secretary: Koutou Mabilo

Organizer(s): Hamidou Dathe (Mathematics Institute, Dakar University), Bernhard Hanke (Mathematics Institute, Augsburg University), Aissa Wade (Department of Mathematics, Penn State University, and AIMS Senegal, Mbour), Katrin Wendland (Mathematics Institute, Freiburg University), ICTP Scientific Contact: Claudio Arezzo

Cosponsor(s): DFGdfg, AIMS Sénégalaims

**DEADLINE: 15/03/2018** For those who applied for financial support to participate in the Workshop on Global Differential Geometry, May 21-25, 2018, at the AIMS Center M'bour, Senegal: If you were planning to participate in the Summer School on Global Differential Geometry, May 14-18, 2018, please be aware that a separate application is necessary, sent directly to the AIMS Center M'bour (by e-mail to kdrame@aims-senegal.org), where the school will take place. Please follow the application procedure described on the summer school's webpage, cf. http://home.mathematik.uni-freiburg.de/mathphys/konf/diffgeo-summerschool/index.html under the headline "Applications". The deadline for applications for the summer school has been extended to 2nd of March 2018. **DEADLINE: 15/03/2018** **DEADLINE: 10/04/2018**

Europe/Rome NOTICE TO PARTICIPANTS Kindly note that foreseen daily schedule is Monday to Friday, 9 a.m. to 5 p.m. It is recommended that participants invited through selection process plan their trip so to arrive in Trieste the day before the School starts, and stay until the day after it ends, to secure continous attendance. * * * The School aims at introducing students both to the basic ideas and to the most recent breakthroughs in the field of extrinsic curvature flows, a fundamental research direction at the intersection of Analysis and Geometry, with deep connections to the theories of minimal surfaces and of diffusive partial differential equations. Extrinsic flows have important applications to the geometry of submanifolds, as their study provides an effective strategy for obtaining topological classification results and for proving sharp geometric inequalities. In a broader context, extrinsic flows arise in describing the dynamics of interfaces in physical and biological sciences, a fact that provides a strong scientific motivation for their mathematical inquiry. Virtually all the different approaches to mean curvature flows will be accounted for, with particular emphasis on the fundamental problem of singularities formation. A major goal of the School will indeed be putting the best students in the position of understanding the many open problems in the field. PRELIMINARY LIST OF LECTURERS S. Angenent, University of Wisconsin-Madison P. Daskalopoulos, Columbia University G. Huisken, Universität Tübingen C. Mantegazza, Università di Napoli Federico II F. Otto, MPI for Mathematics in the Sciences C. Sinestrari, Università di Roma Tor Vergata T. Souganidis, University of Chicago Y. Tonegawa, Tokyo Institute of Technology Interested candidates should apply online (see link "Apply here" on the left-hand menu). * DEADLINE FOR APPLICATION: EXPIRED * -------------------------------------------------------------- Organised in partnership with the Clay Mathematics Institute -------------------------------------------------------------- ICTP Secretariat contact: smr3209@ictp.it ICTP ICTP pio@ictp.it

Activity

4 Jun 2018 - 15 Jun 2018

@ ICTP

Mathematics

International School on Extrinsic Curvature Flows | (smr 3209)

Address: Strada Costiera, 11 I - 34151 Trieste (Italy)

Room: Budinich Lecture Hall (LB)

Secretary: Nicoletta Ivanissevich

Organizer(s): Giovanni Bellettini (University of Siena & ICTP), Francesco Maggi (University of Texas at Austin), Carlo Sinestrari (Tor Vergata Roma University), Local Organiser: Claudio Arezzo

Cosponsor(s): Clay Mathematics Institutecmi

**DEADLINE: 08/03/2018**

Europe/Rome Moduli spaces of stable pointed curves play an important role in algebraic geometry. This School will have one course on vector bundles of coinvariants and on conformal blocks and another one on their cohomology classes in relation with those of moduli of abelian varieties. The cohomology of moduli spaces of curves and abelian varieties carries several natural classes. We focus on the tautological classes and the cohomology classes related to spaces of modular forms. The problem of determining relationships between the tautological classes turns out to be particularly interesting. Moduli spaces of curves carry vector bundles of coinvariants and conformal blocks; they are invariants of a curve C attached to a Lie group G that are canonically isomorphic to global sections of an ample line bundle on the moduli stack of certain G-bundles on C. These are generalized theta functions in case C is smooth. In case g=0, the bundles of co-invariants are globally generated, and their first Chern classes are semi-ample line bundles on the moduli of curves, and shed light on its birational geometry. We can also use the moduli space of curves to learn about generalized theta functions. TOPICS: Cohomology classes on moduli of curves and abelian varieties moduli spaces of curves and abelian varieties properties of the moduli spaces and their compactifications natural cohomology classes and their relations tautological classes and cohomology classes related to spaces of modular forms Vector bundles of coinvariants and conformal blocks introduction to moduli spaces of curves open problems and F-conjecture vector bundles of coinvariants and conformal blocks case g=0: global generation and semi-ample divisors any genus: nef divisors Chern classes of bundles of coinvariants Global sections of ample line bundles on Bun_G(C): smooth and nodal case PARTICIPATION: Women are particularly encouraged to apply. Should you come to Trieste with your child(ren), please send an e-mail to smr3215@ictp.it to describe your family needs and we will do our best to meet them. A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee. To apply, please use the link on the left side of this web page. The deadline for submitting applications expired on 15 March 2018. ICTP ICTP pio@ictp.it

Activity

18 Jun 2018 - 22 Jun 2018

@ ICTP

Mathematics

Summer School on Geometry of Moduli Spaces of Curves | (smr 3215)

Address: Strada Costiera, 11 I - 34151 Trieste (Italy)

Room: Kastler Lecture Hall (AGH)

Secretary: Margherita Di Giovannantonio

Organizer(s): Valentina Beorchia (Dipartimento di Matematica e Geoscienze, Trieste), Ada Boralevi (Politecnico di Torino), Barbara Fantechi (SISSA, Trieste), Local Organiser: Fernando Rodriguez Villegas

Cosponsor(s): SISSAsissa, GNSAGA INdAMgnsaga, Foundation Compositio Mathematicafcm

**DEADLINE: 15/03/2018**

Europe/Rome This is a three-week school and workshop on homological methods in algebra and geometry. The first two weeks will be a school for students from East Africa and beyond. International and African researchers will join for a workshop in the third week. The school begins with two introductory courses on some basic techniques that are widely used in the area. These are then built upon in the second week with slightly more advanced topics. The goal here is to give the participants a glimpse into some ideas used in algebraic geometry and homological algebra with the hope of inspiring them to pursue further research in a related topic. The school is intended for advanced graduate students (M.Sc. and Ph.D.) and young academic staff members from East Africa and beyond. Senior academic members are also welcome to participate. In the last week, the activity turns into a research focus-session involving international and African experts. The focus-session will study tensor categories and how they arise naturally in algebraic geometry with the aim of exploiting them using homological algebra. School Website: eaumpictp2018.weebly.com School Topics: Advanced linear algebra Galois theory Elementary algebraic geometry Introduction to homological algebra Workshop topic: Tensor categories of coherent sheaves Organizers: Tarig Abdelgadir (UNSW Sydney) Ulrich Krähmer (TU Dresden) Sylvester Rugeihyamu (Dar Es Salaam) David Ssevviiri (Makerere) Balázs Szendrői (Oxford) Fernando Rodriguez Villegas (ICTP) School speakers: Ravi Ramakrishna (Cornell) David Ssevviiri (Makerere) Chelsea Walton (Temple) Paul Wedrich (ANU Canberra) Michael Wemyss (Glasgow) Workshop speakers: Raf Bocklandt (Amsterdam) John Boiquaye (Accra) Andre Saint-Eudes Mialebama Bouesso (AIMS-South Africa) Alexandru Chirvasitu (Boulder) Joshua Greene (Boston College) Pinhas Grossman (UNSW Sydney) Yujiro Kawamata (Tokyo) Shinnosuke Okawa (Osaka) Sue Sierra (Edinburgh) Hermann Sore (Burkina Faso) Angela Tabiri (Glasgow) Ralph Twum (Accra) ICTP Scientific Contact: L. GOETTSCHE (ICTP) Application is open to all mathematicians and graduate students from developing countries. Applicants from EAUMP member states will be given priority. We encourage participants to secure their own funding for travel and subsistence from their home institution. Limited funds are available for participants from Sub- Saharan African Countries. There is no registration fee. Deadline: 1st of April 2018 Activity e-mail: smr3219@ictp.it Dar-es-Salaam - United Republic of Tanzania ICTP pio@ictp.it

Activity

9 Jul 2018 - 28 Jul 2018

@ Dar-es-Salaam - United Republic of Tanzania

Mathematics

EAUMP-ICTP School and Workshop on Homological Methods in Algebra and Geometry II | (smr 3219)

Secretary: Koutou Mabilo

Organizer(s): Tarig Abdelgadir (UNSW Sydney), Ulrich Kraehmer (TU Dresden), Eunice Mureithi (University of Dar-es-Salaam), Mark Roberts (AIMS Tanzania), Balazs Szendroi (University of Oxford), ICTP Scientific Contact: Fernando Rodriguez Villegas, Lothar Göttsche

Cosponsor(s): EAUMPeaump, London Mathematical Societylns, CIMPAcimpa2, Foundation Compositio Mathematicafcm

**DEADLINE: 01/04/2018**

Europe/Rome PARTICIPANTS WISHING TO TAKE PART ONLY IN THE ADVANCED SCHOOL (SECOND WEEK) SHOULD NOT APPLY FROM THIS PAGE BUT SHOULD APPLY HERE: http://indico.ictp.it/event/8467/ Participants wishing to participate for both weeks can apply through the link available on the sidebar of this page. *** DEADLINE for applicants requesting Financial Support: 2 APRIL 2018 DEADLINE for applicants NOT requesting Financial Support: 25 JUNE 2018 Organizers and Lecturers: J. Rodriguez-Hertz, SUS Tech., Shenzan, China C. Ulcigrai, Univ. Bristol, U.K. A. Wilkinson, Univ. Chicago, U.S.A. Local Organizer: S. Luzzatto, ICTP, Trieste, Italy Week 1 A circle of concepts and methods in dynamics. Basic concepts in dynamics will be introduced, with many examples, especially in the setting of circle maps. Topics include rotations of the circle, doubling map, Gauss map and continued fractions and an introduction to the basic ideas of symbolic codings and invariant measures. At the end of the week we will discuss some simple examples of structural stability and renormalization. Week 2 Ergodicity in smooth dynamics (10h, Jana Rodriguez-Hertz and Amie Wilkinson) The concept of ergodicity is a central hypothesis in statistical mechanics, one whose origins can be traced to Boltzmann's study of ideal gases in the 19th century. Loosely speaking, a dynamical system is ergodic if it does not contain any proper subsystem, where the notion of "proper" is defined using measures. A powerful theorem of Birkhoff from the 1930's states that ergodicity is equivalent to the property that "time averages = space averages:" that is, the average value of a function taken along an orbit is the same as the average value over the entire space. The property of ergodicity is the first stepping stone in a path through the study of statistical properties of dynamical systems, a field known as Ergodic Theory. We will develop the ergodic theory of smooth dynamical systems, starting with the fundamental, linear examples of rotations and doubling maps on the circle introduced in Week 1. We will develop some tools necessary to establish ergodicity of nonlinear smooth systems, such as those investigated by Boltzmann and Poincaré in the dawn of the subject of Dynamical Systems. Among these tools are distortion estimates, density points, invariant foliations and absolute continuity. Closer to the end of the course, we will focus on the ergodic theory of Anosov diffeomorphisms, an important family of "toy models" of chaotic dynamical systems. Renormalization in entropy zero systems (5h, Corinna Ulcigrai) Rotations of the circle are perhaps the most basic examples of low complexity (or "entropy zero") dynamical systems. A key idea to study systems with low complexity is renormalization. The Gauss map and continued fractions can be seen as a tool to renormalize rotations, i.e.study the behaviour of a rotation on finer and finer scales. We will see two more examples of renormalization in action. The first is the characterization of Sturmian sequences, which arise as symbolic coding of trajectories of rotations (and hint at more recent developments, such as the characterization of cutting sequences for billiards in the regular octagon). The second concerns interval exchange maps (IETs), which are generalizations of rotations. We will introduce the Rauzy-Veech algorithm as a tool to renormalize IETs. As applications, we will give some ideas of how it can be used (in some simplified settings) to study invariant measures and (unique) ergodicity and deviations of ergodic averages for IETs. ----------------------------------------------------------------------------------------- Tutorial and exercise sessions will be held regularly and constitute an essential part of the school. Tutors: Oliver BUTTERLEY (ICTP), Irene PASQUINELLI (Durham University, UK), Davide RAVOTTI, (University of Bristol, UK), Lucia SIMONELLI (ICTP), Kadim WAR (Ruhr-Universität, Bochum, Germany). Women in Mathematics: Activities directed to encourage and support women in mathematics, such as panel discussions and small groups mentoring and networking, will be organized during the event. ICTP ICTP pio@ictp.it

Activity

16 Jul 2018 - 27 Jul 2018

@ ICTP

Mathematics

Summer School in Dynamics (Introductory and Advanced) | (smr 3226)

Address: Strada Costiera, 11 I - 34151 Trieste (Italy)

Room: Budinich Lecture Hall (LB)

Secretary: Koutou Mabilo

Organizer(s): Jana Rodriguez-Hertz (Southern University of Science and Technology, Shenzhen, China), Corinna Ulcigrai (University of Bristol), Amie Wilkinson (University of Chicago), Local Organiser: Stefano Luzzatto

Europe/Rome MYMC 2018 web page: http://www.mymc.it/2018/ REGULATIONS: http://www.mymc.it/2018/doc/MYMC2018REGULATIONS.pdf PARTICIPATING COUNTRIES: Albania, Algeria, Bosnia and Herzegovina, Croatia, Cyprus, Egypt, France, Greece, Italy, Lebanon, Montenegro, Morocco, Palestine, Slovenia, Spain, Tunisia, Turkey TRAINING EXERCISES: http://www.mymc.it/2018/doc/training_exercises.pdf Roma - Italy ICTP pio@ictp.it

Activity

18 Jul 2018 - 21 Jul 2018

@ Roma - Italy

Mathematics

Mediterranean Youth Mathematical Championship 2018 | (smr 3254)

Secretary: Koutou Mabilo

Organizer(s): ICTP Scientific Contact: Claudio Arezzo

Cosponsor(s): MIURmiur2, INdAMgnsaga, UMIumi, UNINTumi, Piano Nazionale Lauree Scientifichepnls, Sapienza Universita di Romasapienza, Universita Roma Treromatre, Universita Tor Vergatatorv

Europe/Rome PARTICIPANTS WISHING TO ATTEND BOTH WEEKS OF THE SCHOOL SHOULD NOT APPLY FROM THIS PAGE BUT SHOULD APPLY HERE: http://indico.ictp.it/event/8325/ Participants wishing to attend only the second week can apply through the link available in the sidebar on this page. *** DEADLINE for applicants requesting Financial Support: 2 APRIL 2018 DEADLINE for applicants NOT requesting Financial Support: 25 JUNE 2018 Organizers and Lecturers: J. Rodriguez-Hertz, SUS Tech., Shenzan, China C. Ulcigrai, Univ. Bristol, U.K. A. Wilkinson, Univ. Chicago, U.S.A. Local Organizer: S. Luzzatto, ICTP, Trieste, Italy Week 1 A circle of concepts and methods in dynamics Basic concepts in dynamics will be introduced, with many examples, especially in the setting of circle maps. Topics include rotations of the circle, doubling map, Gauss map and continued fractions and an introduction to the basic ideas of symbolic codings and invariant measures. At the end of the week we will discuss some simple examples of structural stability and renormalization. Week 2 Ergodicity in smooth dynamics (10h, Jana Rodriguez-Hertz and Amie Wilkinson) The concept of ergodicity is a central hypothesis in statistical mechanics, one whose origins can be traced to Boltzmann's study of ideal gases in the 19th century. Loosely speaking, a dynamical system is ergodic if it does not contain any proper subsystem, where the notion of "proper" is defined using measures. A powerful theorem of Birkhoff from the 1930's states that ergodicity is equivalent to the property that "time averages = space averages:" that is, the average value of a function taken along an orbit is the same as the average value over the entire space. The property of ergodicity is the first stepping stone in a path through the study of statistical properties of dynamical systems, a field known as Ergodic Theory. We will develop the ergodic theory of smooth dynamical systems, starting with the fundamental, linear examples of rotations and doubling maps on the circle introduced in Week 1. We will develop some tools necessary to establish ergodicity of nonlinear smooth systems, such as those investigated by Boltzmann and Poincaré in the dawn of the subject of Dynamical Systems. Among these tools are distortion estimates, density points, invariant foliations and absolute continuity. Closer to the end of the course, we will focus on the ergodic theory of Anosov diffeomorphisms, an important family of "toy models" of chaotic dynamical systems. Renormalization in entropy zero systems (5h, Corinna Ulcigrai) Rotations of the circle are perhaps the most basic examples of low complexity (or "entropy zero") dynamical systems. A key idea to study systems with low complexity is renormalization. The Gauss map and continued fractions can be seen as a tool to renormalize rotations, i.e.study the behaviour of a rotation on finer and finer scales. We will see two more examples of renormalization in action. The first is the characterization of Sturmian sequences, which arise as symbolic coding of trajectories of rotations (and hint at more recent developments, such as the characterization of cutting sequences for billiards in the regular octagon). The second concerns interval exchange maps (IETs), which are generalizations of rotations. We will introduce the Rauzy-Veech algorithm as a tool to renormalize IETs. As applications, we will give some ideas of how it can be used (in some simplified settings) to study invariant measures and (unique) ergodicity and deviations of ergodic averages for IETs. -------------------------------------------------------------------------------------------- Tutorial and exercise sessions will be held regularly and constitute an essential part of the school. Tutors: Oliver BUTTERLEY (ICTP), Irene PASQUINELLI (Durham University, UK), Davide RAVOTTI, (University of Bristol, UK), Lucia SIMONELLI (ICTP), Kadim WAR (Ruhr-Universität, Bochum, Germany). Women in Mathematics: Activities directed to encourage and support women in mathematics, such as panel discussions and small groups mentoring and networking, will be organized during the event. ICTP ICTP pio@ictp.it

Activity

23 Jul 2018 - 27 Jul 2018

@ ICTP

Mathematics

Summer School in Dynamics (Advanced | (smr 3253)

Address: Strada Costiera, 11 I - 34151 Trieste (Italy)

Room: Budinich Lecture Hall (LB)

Secretary: Koutou Mabilo

Europe/Rome For registration and more information please visit: https://impa.br/en_US/eventos-do-impa/eventos-2018/tropical-geometry-and-moduli-spaces/ Deadline to apply for funding: 28 February 2018 Rio de Janeiro - Brazil ICTP pio@ictp.it

Activity

13 Aug 2018 - 17 Aug 2018

@ Rio de Janeiro - Brazil

Mathematics

Workshop on Tropical Geometry and Moduli Spaces | (smr 3233)

Secretary: Milena Poropat

Organizer(s): Oliver Lorscheid (IMPA - Rio de Janeiro), Margarida Melo (University of Coimbra), Johannes Nicaise (Imperial College - London), Sam Payne (Yale University), ICTP Scientific Contact: Lothar Goettsche

ICTP - Strada Costiera, 11
I - 34151 Trieste Italy
(+39) 040 2240 111
pio@ictp.it

ICTP is governed by UNESCO, IAEA, and Italy, and is a UNESCO Category 1 Institute

HECAP

CMSP

MATH

ESP

AP

QLS

New Research Areas

MATH

Mathematics

Scientific Activities

Schools, conferences, workshops, and meetings

Activity

Mathematics

Workshop on Global Differential Geometry | (smr 3205)

Activity

Mathematics

International School on Extrinsic Curvature Flows | (smr 3209)

Activity

Mathematics

Summer School on Geometry of Moduli Spaces of Curves | (smr 3215)

Activity

Mathematics

EAUMP-ICTP School and Workshop on Homological Methods in Algebra and Geometry II | (smr 3219)

Activity

Mathematics

Summer School in Dynamics (Introductory and Advanced) | (smr 3226)

Activity

Mathematics

Mediterranean Youth Mathematical Championship 2018 | (smr 3254)

Activity

Mathematics

Summer School in Dynamics (Advanced | (smr 3253)

Activity

Mathematics

Workshop on Tropical Geometry and Moduli Spaces | (smr 3233)

CheckRedirectPage

HECAP

CMSP

MATH

ESP

AP

QLS

New Research Areas

MATH

Mathematics

Contextual Navigation

Scientific Activities

Schools, conferences, workshops, and meetings

Activity

Mathematics

Workshop on Global Differential Geometry | (smr 3205)

Activity

Mathematics

International School on Extrinsic Curvature Flows | (smr 3209)

Activity

Mathematics

Summer School on Geometry of Moduli Spaces of Curves | (smr 3215)

Activity

Mathematics

EAUMP-ICTP School and Workshop on Homological Methods in Algebra and Geometry II | (smr 3219)

Activity

Mathematics

Summer School in Dynamics (Introductory and Advanced) | (smr 3226)

Activity

Mathematics

Mediterranean Youth Mathematical Championship 2018 | (smr 3254)

Activity

Mathematics

Summer School in Dynamics (Advanced | (smr 3253)

Activity

Mathematics

Workshop on Tropical Geometry and Moduli Spaces | (smr 3233)

CheckRedirectPage