Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, March 7, 2019.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Thursday, March 7, 2019

11:00 am in 241 Altgeld Hall,Thursday, March 7, 2019

#### Diophantine problems and a p-adic period map

###### Brian Lawrence (University of Chicago)

Abstract: I will outline a proof of Mordell's conjecture / Faltings's theorem using p-adic Hodge theory. I'll start with a discussion of cohomology theories in algebraic geometry, and build from there. The paper is joint with Akshay Venkatesh.

12:00 pm in 243 Altgeld Hall,Thursday, March 7, 2019

#### Atoroidal dynamics of subgroups of $$Out(F_N)$$

###### Caglar Uyanik (Yale)

Abstract: I will discuss several examples to illustrate how the dynamics of the $$Out(F_N)$$ action on various spaces reflects on the algebraic structure of the $$Out(F_N)$$ itself. In particular, I will talk about a new subgroup classification theorem for $$Out(F_N)$$ which is joint work with Matt Clay.

4:00 pm in 245 Altgeld Hall,Thursday, March 7, 2019

#### New examples of Calabi-Yau metrics on a complex vector space

###### Frederic Rochon (University of Quebec in Montreal)

Abstract: After reviewing how the Riemann curvature tensor describes the local geometry of a space and how it may reflect some global aspects of its topology, we will focus on a special type of geometry: Calabi-Yau manifolds. By smoothing singular Calabi-Yau cones and using suitable compactifications by manifolds with corners, we will explain how to construct new examples of complete Calabi-Yau metrics on a complex vector space. Our examples are of Euclidean volume growth, but with tangent cone at infinity having a singular cross-section. This is a joint work with Ronan J. Conlon.