Department of

Mathematics


Seminar Calendar
for events the day of Thursday, November 10, 2016.

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Thursday, November 10, 2016

11:00 am in 241 Altgeld Hall,Thursday, November 10, 2016

A new approach to Waldspurger's formula

Rahul Krishna (Northwestern University)

Abstract: I will present a new trace formula approach to Waldspurger's formula for toric periods of automorphic forms on $PGL_2$. The method is motivated by interpreting Waldspurger's result as a period relation on $SO_2 \times SO_3$, which leads to a strange comparison of relative trace formulas. I will explain the local results needed to carry out this comparison, mention some technical hurdles, and discuss some optimistic dreams for extending these results to high rank orthogonal groups.

12:00 pm in Altgeld Hall 243,Thursday, November 10, 2016

TALK CANCELLED DUE TO TRAVEL COMPLICATIONS

Ursula Hamenstädt (University of Bonn)

2:00 pm in 243 Altgeld Hall,Thursday, November 10, 2016

A new approach to low-distortion embeddings of finite metric spaces into non-superreflexive Banach spaces

Beata Randrianantoanina (Miami University, Ohio)

Abstract: I will present a new embedding method which we use to show that some finite metric spaces admit low-distortion embeddings into all non-superreflexive spaces. This method is based on the theory of equal-signs-additive sequences developed by Brunel and Sucheston (1975-1976). We also show that some of the low-distortion embeddability results obtained using this method cannot be obtained using the method based on the factorization between the summing basis and the unit vector basis of $\ell_1$, which was used by Bourgain (1986) and Johnson and Schechtman (2009). (Joint work with Mikhail I. Ostrovskii.)

3:00 pm in 243 Altgeld Hall,Thursday, November 10, 2016

Blowup algebras of rational normal scrolls

Alessio Sammartano (Purdue University)

Abstract: The Rees ring and the special fiber ring of a polynomial ideal $I$, also known as the blowup algebras of $I$, play an important role in commutative algebra and algebraic geometry. A central problem is to describe the defining equations of these algebras. I will discuss the solution of this problem when $I$ is the homogeneous ideal of a rational normal scroll.

4:00 pm in 245 Altgeld Hall,Thursday, November 10, 2016

TALK CANCELLED DUE TO TRAVEL COMPLICATIONS

Ursula Hamenstädt (University of Bonn)