Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, October 25, 2017.

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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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Wednesday, October 25, 2017

3:00 pm in 243 Altgeld Hall,Wednesday, October 25, 2017

#### Bott-Samelson varieties and combinatorics

###### Laura Escobar (UIUC)

Abstract: Schubert varieties parametrize families of linear spaces intersecting certain hyperplanes in C^n in a predetermined way. In the 1970’s Hansen and Demazure independently constructed resolutions of singularities for Schubert varieties: the Bott-Samelson varieties. In this talk I will describe their relation with associahedra. I will also discuss joint work with Pechenick-Tenner-Yong linking Magyar’s construction of these varieties as configuration spaces with Elnitsky’s rhombic tilings. Finally, based on joint work with Wyser-Yong, I will give a parallel for the Barbasch-Evens desingularizations of certain families of linear spaces which are constructed using symmetric subgroups of the general linear group.

4:00 pm in Altgeld Hall 141,Wednesday, October 25, 2017

#### Zariski tagent space to the moduli space of vector bundles on an algebraic curve

###### Jin Hyung To   [email] (UIUC)

Abstract: Zariski tagent space to the moduli space of vector bundles on an algebraic curve Abs: We will show how to use deformations to find the Zariski tangent space. The moduli space of vector bundles is the GIT quotient of Hilbert scheme. Using this we find the Zariski tangent space of the moduli space of vector bundles.

4:00 pm in 245 Altgeld Hall,Wednesday, October 25, 2017

#### Life After Comps

###### Math Dept. PhD Students

Abstract: Current PhD students will talk about making the transition from primarily coursework to primarily research. Topics may include finding a thesis adviser, time management, talks and conferences, career preparation. There will be plenty of time for questions.