Speaker: Gonçalo Tabuada (FCTUNL).
Abstract: The Weil conjectures (proved by Deligne in the 70's) played a key role in the development of modern algebraic geometry. In this talk, making use of some recent topological "technology", I will extended the Weil conjectures from the realm of algebraic geometry to the broad noncommutative setting of differential graded categories. Moreover, I will prove the noncommutative Weil conjectures in some interesting cases.
Por Ana Cristina Casimiro (Universidade Nova de Lisboa).
Por Gonçalo Oliveira (Universidade Federal Fluminense - UFF).
By Sean Lawton (George Mason Univ.)
Por Tom Sutherland (Grupo de Física Matemática).
Abstract: I will give an explicit description of the space of stability conditions of a set of Calabi-Yau-3 triangulated categories labelled by the Painlevé equations. We will see how the Painlevé equations appear in a Riemann-Hilbert problem motivated by the enumerative geometry of Calabi-Yau-3 categories whose solution is related to the study of the monodromy of opers.
Por Emílio Franco (IST).
Abstract: While it is well known that the moduli space of G-bundles over a smooth projective curve is compact, it is not the case for an arbitrary base variety. This motivated the definition of G-sheaves by Gomez and Sols who proved that their moduli space is a compactification of the moduli space of G-bundles. In this talk I will study the deformation and obstruction theory of these objects when G is either the symplectic or the orthogonal group.
Por Stephan Klaus (M. F. I. Oberwolfach).
Por Pieter Roffelsen (SISSA).
Por Ana Margarida Melo (Univ. de Roma e Univ. de Coimbra).
Por Boris Zilber, University of Oxford
I. Principles of geometric stability theory and classication of formal theories
1. dimensions and ranks
2. saturation and homogeneity
3. types: syntactic and Galois
4. beyond first-order languages
5. the landscape of mathematics and the classication grid
