Algebraic geometry seminar

from Saturday
June 01, 2019 to Tuesday
December 31, 2019
Show events for:
Instructions for subscribing to Stony Brook Math Department Calendars

Wednesday
September 04, 2019

4:00 PM - 5:30 PM
Math Tower P-131
Mirko Mauri, Imperial College London
The essential skeletons of pairs and the geometric P=W conjecture

The geometric P=W conjecture is a conjectural description of the asymptotic behavior of a celebrated correspondence in non-abelian Hodge theory. In particular, it is expected that the dual boundary complex of the compactification of character varieties is a sphere. In a joint work with Enrica Mazzon and Matthew Stevenson, we manage to compute the first non-trivial examples of dual complexes in the compact case. This requires to develop a new theory of essential skeletons over a trivially-valued field. As a byproduct, inspired by these constructions, we show that certain character varieties appear in degenerations of compact hyper-Kähler manifolds.  In this talk we will explain how these new non-archimedean techniques can shed new light into classical algebraic geometry problems. 


Wednesday
September 11, 2019

4:00 PM - 5:30 PM
Math Tower P-131
Thorsten Herrig, Humboldt Universität zu Berlin
Fixed points and entropy of endomorphisms on complex tori

We investigate the fixed-point numbers and entropies of endomorphisms on complex tori. Motivated by an asymptotic perspective, we study how the number of fixed points behaves when the endomorphism is iterated.

In this talk I show that the fixed-points function can have only three kinds of behaviour, and I characterize them in terms of the analytic eigenvalues. An interesting follow-up question is to determine criteria to decide of which type an endomorphism is. I will provide such criteria for simple abelian varieties in terms of the possible types of endomorphism algebras. The gained insight into the occurring eigenvalues can be applied to questions about the entropy of an endomorphism. I will give criteria for an endomorphism to be of zero or positive entropy and will provide examples of automorphisms on simple abelian varieties of dimension four whose entropy is the logarithm of a Salem number.


Wednesday
September 18, 2019

4:00 PM - 5:30 PM
Math Tower P-131
Margaret Bilu, Courant Institute of Mathematical Sciences
TBA

TBA


Wednesday
September 25, 2019

4:00 PM - 5:30 PM
Math Tower P-131
Enrica Mazzon, Imperial College London
TBA

TBA


Wednesday
October 02, 2019

4:00 PM - 5:30 PM
Math Tower P-131
TBA, TBA
TBA

TBA


Wednesday
October 09, 2019

4:00 PM - 5:30 PM
Math Tower P-131
TBA, TBA
TBA

TBA


Wednesday
October 16, 2019

4:00 PM - 5:30 PM
Math Tower P-131
TBA, TBA
TBA

TBA


Wednesday
October 23, 2019

4:00 PM - 5:30 PM
Math Tower P-131
TBA, TBA
TBA

TBA


Wednesday
October 30, 2019

4:00 PM - 5:30 PM
Math Tower P-131
Eyal Markman, University of Massachusetts, Amherst
TBA

TBA


Wednesday
November 06, 2019

4:00 PM - 5:30 PM
Math Tower P-131
Chenyang Xu,
TBA

TBA


Wednesday
November 13, 2019

4:00 PM - 5:30 PM
Math Tower P-131
TBA, TBA
TBA

TBA


Wednesday
November 20, 2019

4:00 PM - 5:30 PM
Math Tower P-131
TBA, TBA
TBA

TBA


Wednesday
December 04, 2019

4:00 PM - 5:30 PM
Math Tower P-131
TBA, TBA
TBA

TBA


Show events for:
Instructions for subscribing to Stony Brook Math Department Calendars