Faculty of Sciences, University of Lisbon, 18-20 December 2023
The 11th edition of the meeting on Particle Systems and PDEs will be held at the Instituto Superior Técnico from the 6th to the 10th of November 2023.
We expect the participation of a vast audience, including young researchers and PhD students, and we intend to present and exploit the interdisciplinary nature of mathematics as well as its applications in various areas. The meeting includes two mini-courses and several invited talks.
Azizeh Nozad (IPM, Tehran, Iran)
Meeting Times (Room 6.2.33)
Friday, 30/6/2023 - 11:00-12:30
Monday, 3/7/2023 - 11:00-12:30
Wednesday, 5/7/2023 - 11:30-12:30
1. Introduction to Geometric Invariant Theory and Character Varieties.
2. Stratification of -character Varieties and Mixed Hodge Structures
3. Generating functions of -polynomials
14th June 2023
Faculty of Sciences, University of Lisbon
Andreas Hohl (Sorbonne, Paris)
Masaki Kashiwara (RIMS, Kyoto) to be confirmed
Tatsuki Kuwagaki (Kyoto)
Vadim Lebovici (ENS, Paris)
François Petit (CRESS, Paris)
Pierre Schapira (Sorbonne, Paris)
Joint organization between Luisa Fiorot (Dipartimento di Matematica ”Tullio Levi-Civita”, Padova, Italy)
and Teresa Monteiro Fernandes (CMAFcIO, FCUL, Portugal)
Further information can be found at the conference webpage: https://sites.google.com/view/schapira2023/home-page
by Luisa Fiorot (Dipartimento di Matematica ”Tullio Levi-Civita”, Padova, Italy)
Derived categories in Algebraic Geometry and Representation Theory
15th June 2023
Introduction to derived categories: abelian categories, functors, natural transformations, triangulated categories, category up to homotopy and derived category. Examples.
16th June 2023
Examples of abelian categories: coherent and quasi-coherent sheaves on a separated quasi compact scheme. Coherent sheaves on a complex manifold. Category of modules on a ring.
19th June 2023
Derived functors. Cohomology of sheaves. Derived direct image and inverse image of quasi-coherent sheaves and their adjunction formula.
20th June 2023
Torsion pairs in abelian categories and t-structures in triangulated categories. Examples.
21st June 2023
Beilinson theorem: equivalence of the derived category of coherent sheaves on the projective line and the derived category of representations of the Kronecker quiver.
room 6.2.38 @ 2:00 p.m. | Faculdade de Ciências da Universidade de Lisboa
SPA Conferences are organised under patronage of the Bernoulli Society and can justifiably be regarded as the most important international scientific meeting on the theory and applications of stochastic processes.
They are held annually except for the years when the World Congress in Probability and Statistics takes place.
Lisbon, 24 to 28 July 2023.