Department of

Mathematics


Seminar Calendar
for events the day of Friday, October 5, 2018.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, October 5, 2018

1:00 pm in 2 Illini Hall,Friday, October 5, 2018

Dynamics and Spectral Theory 3: Microlocal Lifts and Quantum Unique Ergodicity

Hadrian Quan

Abstract: Concluding our series, we’ll generalize the asymptotics of the first talk to prove a “local” Weyl’s law. Then, we'll use this to prove an Ergodic theorem in the spirit of the Classical-Quantum Correspondence: the "quantum average" of an operator is equal to the "phase space average" of its principal symbol, "almost always". I’ll explain how this can be turned into mathematical statement, how to improve on it, and explain why both number theorists and geometers might care.

1:00 pm in Altgeld Hall,Friday, October 5, 2018

To Be Announced

3:00 pm in 145 Altgeld Hall,Friday, October 5, 2018

An introduction to noncommutative entropy

Christopher Linden (Illinois Math)

Abstract: I will attempt to give an accessible introduction to the theory of noncommutative entropy, focusing on examples and comparisons to the classical theory.

4:00 pm in 241 Altgeld Hall,Friday, October 5, 2018

An introduction to Ratner's theorem

Venkata Sai Narayana Bavisetty

Abstract: This talk will be an introduction to ergodic theory. I will start out by explaining what ergodicity means and state Ratner's theorem. I will conclude by sketching the proof of Oppenheim conjecture(now a theorem).