Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, May 8, 2014.

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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, May 8, 2014

2:00 pm in 241 Altgeld Hall,Thursday, May 8, 2014

#### Generic singularity of maximal spectral types (part 3)

###### Anush Tserunyan (UIUC Math)

Abstract: We will finish reading through "Generic spectral properties of measure-preserving maps and applications" by Del Junco and Lemanczyk.

3:00 pm in 243 Altgeld Hall,Thursday, May 8, 2014

#### On Hilbert coefficients and mixed Hilbert coefficients of modules

###### Victor Perez (Institute of Mathematics and Computer Sciences, Sao Carlos)

Abstract: If $(R,\mathfrak m)$ is a $d$-dimensional Noetherian local ring and an $R$-submodule $M$ of $R^p$ of finite colength. In this talk, we will discuss the non-negativity of Buchsbaum-Rim coefficient multiplicity ${\rm br}_1(M;R^p)$ and ${\rm br}_2(M;R^p)$ and of some mixed Buchsbaum-Rim coefficient multiplicity. Also we derive certain expressions for calculus of the coefficients ${\rm br}_i(M;R^p),$ for $i=0,\dots d+p-1.$

4:00 pm in 143 Altgeld Hall,Thursday, May 8, 2014

#### From N=4 SYM to the geometric Langlands program

###### Tom Nevins (Illinois Math)

Abstract: Last week Sheldon Katz introduced N=4 SYM in 4d and its topological twists. The goal of this talk will be to explain the interpretation, due to Kapustin and Witten, of geometric Langlands duality as a physical duality of topologically twisted N=4 supersymmetric gauge theories. I will assume as little background as possible on the part of the audience; in particular, I will not assume any familiarity with the Langlands program.

7:00 pm in 314 Altgeld Hall,Thursday, May 8, 2014

#### The Art of Mental Calculation

###### Natalya Zielnicki (Countryside Middle School, Champaign)

Abstract: Author and math teacher Natalya St. Clair Zielnicki will share some secrets of mental math to get students excited about rapid mental arithmetic. Some mental math tricks she will discuss include adding left to right, subtraction using complements (you're welcome!), and memorizing digits of pi quickly. This talk is suitable for all ages.