Department of

Mathematics


Seminar Calendar
for events the day of Friday, February 13, 2015.

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Friday, February 13, 2015

4:00 pm in 345 Altgeld Hall,Friday, February 13, 2015

An Introduction to Distal NIP Theories

Allen Gehret (UIUC)

Abstract: This will be the second talk about distal NIP theories. In this talk, I will attempt to synthesize the ``low-hanging fruit'' concerning distality from the following sources: 1. "A Guide to NIP Theories", Pierre Simon, Chapter 9 http://www.normalesup.org/~simon/NIP_guide.pdf 2. "Externally Definable Sets and Dependent Pairs II", Artem Chernikov and Pierre Simon, http://arxiv.org/pdf/1202.2650v1.pdf 3. "Distal and non-distal NIP theories", Pierre Simon, http://arxiv.org/pdf/1103.2239v2.pdf

4:00 pm in 147 Altgeld Hall,Friday, February 13, 2015

Dual filtered graphs

Rebecca Patrias   [email] (University of Minnesota Math)

Abstract: Using the Hecke insertion algorithm of Buch-Kresh-Shimozono-Tamvakis-Yong, we define a K-theoretic analogue of Fomin's dual graded graphs called dual filtered graphs. The key formula in the definition is DU-UD=D+I. We discuss two main constructions of dual filtered graphs: the Mobius construction, which corresponds to natural insertion algorithms, and the Pieri construction, which is an algebraic construction. We end with some enumerative results using up-down calculus. This is work with Pasha Pylyavskyy.

4:00 pm in 241 Altgeld Hall,Friday, February 13, 2015

Line Bundles, Divisors and Positivity in Algebraic Geometry

Nathan Fieldsteel (UIUC Math)

Abstract: We will discuss the theory of divisors and line bundles on projective varieties, with a focus on the ample and nef divisors. We'll talk about cohomological and numerical characterizations of ampleness. Time permitting, I'll talk a little about $\mathbb{Q}$ and $\mathbb{R}$ divisors and the ample and nef cones.