VBAC 2017

Vector Bundles on Algebraic Curves 2017

Conference at the University Duisburg-Essen, Campus Essen

September 4-8, 2017


Sponsors



DFG Priority Programme 1786
Homotopy Theory and Algebraic Geometry



DFG Sonderforschungsbereich TR 45
Periods, moduli spaces and arithmetic of algebraic varieties

Minicourse: Bridgeland Stability

by Emanuele Macri
Northeastern University

In these lecture we give an introduction to Bridgeland stability conditions on smooth complex projective varieties with a particular focus on the case of surfaces. This includes basic definitions of stability conditions on derived categories, basics on moduli spaces of stable objects and variation of stability. The main focus is on the case of complex surfaces.

Minicourse: Noncommutative motives

by Gonçalo Tabuada
Massachusetts Institute of Technology

In this course I will introduce the recent theory of noncommutative motives and describe some of its manyfold applications to adjacent areas of mathematics.

Conference site

The conference will take place at:
Weststadt-Carree, Thea-Leymann-Str. 9, 45127 Essen
Room WSC-N-U-3.05
Click here to see it on the map
Thanks to the OpenStreetMap project!

Research talks - Speakers

Aravind Asok (University of Southern California)
Counting vector bundles

Marcello Bernardara
Université Paul Sabatier, Toulouse

Jean Fasel
Fourier Institute Grenoble

Daniel Halpern-Leistner
Columbia University

Jesse Kass
University of South Carolina

Markus Reineke (Ruhruniversität Bochum)
Intersection cohomology of moduli spaces of vector bundles on curves

Wolfgang Soergel ( Albert-Ludwigs-Universität Freiburg)
Equivariant Motives in Representation Theory

David Stapleton (Stony Brook University)
Geometry and stability of tautological bundles on Hilbert schemes of points

Sofia Tirabassi (University of Bergen)
Derived categories of canonical covers in positive characteristic

Pieter Belmans (University of Antwerp)
Hochschild-Kostant-Rosenberg decomposition versus noncommutative surfaces

Marcos Jardim (University of Campinas, Brazil)
Moduli spaces of rank 2 sheaves on projective space and Bridgeland stability

Chiara Damiolini (Universität Duisburg-Essen)
Twisted conformal blocks

Alejandra Rincón Hidalgo (Freie Universität Berlin)
Bridgeland stability conditions on the category of holomorphic triples over a curve

Charles Aparecido de Almeida (University of Campinas)
New moduli components of rank 2 bundles on projective space


Program

Monday, 09/04/17 9.30 - 11.00 Bridgeland Stability 1
11.30 - 13.00 Noncommutative motives 1
14.30 - 15.30 Marcello Bernardara
15.45 - 16.45 Aravind Asok
17.00 - 18.00 Marcos Jardim
Tuesday, 09/05/17 9.30 - 11.00 Bridgeland Stability 2
11.30 - 13.00 Noncommutative motives 2
14.30 - 15.30 Jean Fasel
15.45 - 16.45 Daniel Halpern-Leistner
17.00 - 18.00 David Stapleton
Wednesday, 09/06/17 9.30 - 11.00 Bridgeland Stability 3
11.30 - 13.00 Noncommutative motives 3
afternoon Excursion
Thursday, 09/07/17 9.30 - 11.00 Bridgeland Stability 4
11.30 - 13.00 Noncommutative motives 4
14.30 - 15.30 Jesse Kass
15.45 - 16.45 Markus Reineke
17.00 - 17.25 Pieter Belmans
17.30 - 17.55 Chiara Damiolini
Friday, 09/04/17 9.30 - 10.30 Wolfgang Soergel
10.45 - 11.45 Sofia Tirabassi
12.00 - 12.25 Alejandra Rincón Hidalgo
12.30 - 12.55 Charles Aparecido de Almeida

Conference dinner

There will be a social dinner. Details will follow.

Registration