Department of

Mathematics


Seminar Calendar
for events the day of Monday, April 13, 2015.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, April 13, 2015

12:00 pm in 341 AH,Monday, April 13, 2015

Induction of representations and Poincare duality

Reyer Sjamaar (Cornell University)

Abstract: Let G be a group and H a subgroup. Frobenius showed in 1898 how to "enlarge" a representation of H to a representation of G. His method, now called induction, rapidly became a useful tool in algebra and analysis and was adapted by others in various ways. For instance, in 1965 Bott made a systematic study of induction methods based on elliptic differential operators in the context of compact Lie groups, which led to generalizations of the Weyl character formula. I will review and update Bott's work and discuss some applications to K-theory. This is a report on joint work with Greg Landweber.

4:00 pm in Altgeld Hall 145,Monday, April 13, 2015

Lech's Conjecture

Matthew Mastroeni (UIUC Math)

Abstract: Lech’s Conjecture is a very simple statement about the behavior of Hilbert-Samuel multiplicity under a flat local extension of Noetherian local rings. It has been over fifty years since Lech first made his conjecture, and still not much can be said about its validity in general. In this talk, I will first discuss some general facts about flat extensions and Hilbert-Samuel multiplicity which are useful for simplifying the problem of Lech's Conjecture. I will then give a brief overview of the few cases where the conjecture is known to hold.

4:00 pm in 245 Altgeld Hall,Monday, April 13, 2015

Anil Hirani, Kyle Jao, Aaron Saxton (UIUC Math; Yahoo; Agrible Inc)

Abstract: An informal panel discussion about the experience of mathematicians making the transition to or from industry. All are welcome. Bring your questions, and stay afterwards to chat with our panelists!

5:00 pm in Altgeld Hall 241,Monday, April 13, 2015

Approximation properties for quantum groups, monoidal equivalence, and Drinfeld doubles. Part 3

Michael Brannan (UIUC Math)

Abstract: We continue from last monday.