Department of

# Mathematics

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

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events for the
events containing

More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
    September 2018          October 2018          November 2018
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1       1  2  3  4  5  6                1  2  3
2  3  4  5  6  7  8    7  8  9 10 11 12 13    4  5  6  7  8  9 10
9 10 11 12 13 14 15   14 15 16 17 18 19 20   11 12 13 14 15 16 17
16 17 18 19 20 21 22   21 22 23 24 25 26 27   18 19 20 21 22 23 24
23 24 25 26 27 28 29   28 29 30 31            25 26 27 28 29 30
30


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

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).