Feb. 14
12:201:20

Chris Fraser (IUPUI)
Cluster
varieties in geometry
Abstract [+]
I will give a historical introduction to cluster varieties, focusing on a few concrete examples (Grassmannians and spaces of decorated Glocal systems). I will end by discussing symmetries of cluster structures, emphasizing a connection with mapping class groups of surfaces and braid groups.

FEB. 21

TBD
Polyhedral
products are the central objects in the new field of
toric topology. In this talk I will give an
introduction to these combinatorial constructions in
topology, and give a few applications, including
calculations of some monodromy representations.

Feb. 28 
TBD

mar. 7


mar. 14 
Spring Break

Mar. 21

TBD

MAR. 28 
Jessie
Yang (Marian University)
Tropical geometry and NewtonOkounkov body for Grassmannian of planes
Abstract

Apr. 4 
TBD
We study the
space of group homomorphisms Hom(Z^n,G) of pairwise
commuting ntuples in a compact and connected Lie
group G, from the topological viewpoint. We will
describe a way to stabilize spaces of homomorphisms by
introducing an infinite dimensional topological space,
reminiscent of a Stiefel variety, that assembles the
spaces of commuting tuples into a single space.
HilbertPoincare series will be also described and if
time permits other properties will also be given.

ApR. 11

Dan Ramras (IUPUI)
Topology of character varieties
Abstract [+]
Character varieties parametrize conjugacy classes of representations of discrete groups into algebraic groups. I'll discuss some recent results on the topology of these varieties. In particular, I'll explain how studying their fundamental groups leads to information about centralizers in Lie groups. This is joint with with Biswas, Lawton, and Florentino.

APR. 18 

APR. 25
IT 163 
Bogdan Nica (McGill University)
Analytical aspects of hyperbolic groups
Abstract [+]
Hyperbolic groups are wellestablished in geometric group theory. The purpose of this talk is to promote the idea that hyperbolic groups are very interesting from an analytic viewpoint. I will give a overview of some results in this area, mainly focusing on certain finiteness phenomena that sharply distinguish between the `rank one' case of hyperbolic groups, and higher rank. I intend to make this talk as friendly as possible.

Past semesters:
Fall
2016

IUPUI • Department of
Mathematical Sciences 