Schedule of Talks
(Click title for abstract)
9:30 
Coffee and
refreshments 
10:00 
David Dumas 
Geometry and topology of complex Anosov domain quotients
Abstract: TBA

11:00

Nicole Looper 
Arboreal Galois Representations of Higher Degree
Polynomials and Odoni's Conjecture
Abstract: Since the mid1980s, when the
study of arboreal Galois representations first began,
most results have concerned the representations induced
by quadratic rational maps. In the higher degree case,
by contrast, very little has been known. I will discuss
some recent results pertaining to higher degree
polynomials over number fields. This will include a
partial solution to a conjecture made by R.W.K. Odoni in
1985.

12:00 
Break for lunch

2:00

Sebastian Hurtato

New Ideas on Zimmer's conjecture
Abstract: Zimmer's conjecture states
that any action by diffeomorphisms of a lattice (for
example Sl_n(Z)) on a manifold comes from a very nice
algebraic action (for example, the natural action of
Sl_n(R) in R^n). I'll describe some recent progress on
this due to A. Brown, D. Fisher and myself and explain
some of the ideas involved.

3:00

Alex Furman

Measured Group Theoryâ€”a short overview
Abstract: Measured Group Theory is an ergodic theory analogue of Geometric Group Theory,
which is also connected to von Neumann algebras and to Descriptive Set Theory.
In this talk we will discuss the general landscape of invariants and rigidity results,
the partial order on groups with respect to measure embeddability, and character rigidity.

All talks will take place in Room 133 of Eckhart
Hall in the Department of Mathematics at the University of
Chicago.
