Department of

# Mathematics

Seminar Calendar
for events the day of Monday, October 24, 2016.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    September 2016          October 2016          November 2016
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2  3                      1          1  2  3  4  5
4  5  6  7  8  9 10    2  3  4  5  6  7  8    6  7  8  9 10 11 12
11 12 13 14 15 16 17    9 10 11 12 13 14 15   13 14 15 16 17 18 19
18 19 20 21 22 23 24   16 17 18 19 20 21 22   20 21 22 23 24 25 26
25 26 27 28 29 30      23 24 25 26 27 28 29   27 28 29 30
30 31


Monday, October 24, 2016

4:00 pm in 241 Altgeld Hall,Monday, October 24, 2016

#### The Cohomological McKay Correspondence and Symplectic Cohomology

###### Mark McLean (Stony Brook University)

Abstract: Suppose that we have a finite quotient singularity C^n/G admitting a crepant resolution Y (i.e. a resolution with c_1 = 0). The cohomological McKay correspondence says that the cohomology of Y has a basis given by irreducible representations of G (or conjugacy classes of G). Such a result was proven by Batyrev when the coefficient field F of the cohomology group is Q. We give an alternative proof of the cohomological McKay correspondence in some cases by computing symplectic cohomology+ of Y in two different ways. This proof also extends the result to all fields F whose characteristic does not divide |G| and it gives us the corresponding basis of conjugacy classes in H^*(Y). We conjecture that there is an extension to certain non-crepant resolutions. This is joint work with Alex Ritter.

4:00 pm in 245 Altgeld Hall,Monday, October 24, 2016

#### Some Radon transforms and their discrete analogue

###### Xiaochun Li (Department of Mathematics, University of Illinois)

Abstract: We report some progress on certain Radon transforms and some discrete analogue. For instance, bilinear Hilbert transform along curves, discrete Strichartz estimate and its relation with weighted restriction, etc.

5:00 pm in 241 Altgeld Hall,Monday, October 24, 2016

#### Renyi Divergence and Noncommutative $L_p$ spaces

###### Li Gao (UIUC Math)

Abstract: We continue from last time.