Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, October 22, 2015.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Thursday, October 22, 2015

11:00 am in 241 Altgeld Hall,Thursday, October 22, 2015

#### New variants of the delta-method and applications

###### Roman Holowinski (Ohio State University)

Abstract: We will present simple "conductor lowering" techniques in the classical delta-method of Duke-Friedlander-Iwaniec which have proven useful in various shifted convolution sum and subconvexity problems. We also describe new variants arising from Petersson-Kuznetsov trace formulae and shall discuss their benefits in application to analytic problems on higher rank groups. Some of the recent works of Ritabrata Munshi, Zhi Qi, and current graduate students will be highlighted.

11:30 am in Silvercreek Restaurant, Urbana,Thursday, October 22, 2015

#### Department of Mathematics Retiree's Luncheon

2:00 pm in 347 Altgeld Hall,Thursday, October 22, 2015

#### Bott periodicity from different viewpoints

###### Ningchuan Zhang (UIUC Math)

Abstract: In this talk, I will sketch three proofs of Bott periodicity using Morse theory, Fredholm operator and Clifford algebra, respectively. After that, I will also talk about Bott periodicity in KR-theory and its relation with the periodicity in K, KO and KSC theories.