Department of

# Mathematics

Seminar Calendar
for events the day of Friday, September 12, 2014.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
     August 2014           September 2014          October 2014
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1  2       1  2  3  4  5  6             1  2  3  4
3  4  5  6  7  8  9    7  8  9 10 11 12 13    5  6  7  8  9 10 11
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Friday, September 12, 2014

4:00 pm in 343 Altgeld Hall,Friday, September 12, 2014

#### Root-system combinatorics and the Belkale-Kumar cohomology product

###### Dominic Searles   [email] (UIUC Math)

Abstract: Using the combinatorial model of root-theoretic Young diagrams (RYDs), we investigate the Belkale-Kumar deformation of the cohomology of generalized flag varieties, introduced by P. Belkale-S. Kumar. We present a new rule in terms of RYDs for the Belkale-Kumar product for flag varieties of type A (after the puzzle rule of A. Knutson-K. Purbhoo). Inspired by recent work of S. Evens-W. Graham, in joint work with O. Pechenik we give a new, short proof that the Belkale-Kumar product is well-defined in general type, using combinatorics and tangent space methods.

4:00 pm in 245 Altgeld Hall,Friday, September 12, 2014

#### Panel Discussion on Career Paths after Graduate School

Abstract: Panelists will be: Gosia Konwerska (Wolfram Research); Catherine Meadows (Senior Researcher, Naval Research Laboratory); and Manmohan Kaur (Professor, Benedictine University, Lisle, Illinois)

4:00 pm in 243 Altgeld Hall,Friday, September 12, 2014

#### Solving Problems with Frank Adams

###### Peter Nelson (UIUC Math)

Abstract: Around 1960, Frank Adams solved two important problems in topology. His solutions introduced basic computational tools to the field (and so people like me like talking about this.) I'll naturally talk about these problems, which are fairly geometric, and about their solutions. Time permitting I'll talk about some further impacts on the field.

4:00 pm in 345 Altgeld Hall,Friday, September 12, 2014

#### Szemeredi's Lemma for the Analyst

###### Erik Walsberg (UCLA/UIUC)

Abstract: I will discuss Szemeredi Regularity, an analytic analogue of Szemeredi Regularity and the theory of limits of sequences of finite graphs. This is the second talk in a series the paper "Szemeredi's Lemma for the Analyst" by Lovasz-Szegedy.

5:00 pm in 239 Altgeld Hall,Friday, September 12, 2014

#### Poster Session presented by current graduate students

Abstract: A poster session will be held from 5-6:30 p.m. in 239 Altgeld Hall.