Department of

# Mathematics

Seminar Calendar
for events the day of Friday, October 13, 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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Friday, October 13, 2017

11:30 am in 147 Altgeld Hall,Friday, October 13, 2017

#### Time Management Workshop

###### Norma Gregorio-Perez, Syahidatul Khafizah Mohd Hajaraih (Counseling Center)

Abstract: Managing your time successfully implies accomplishing what is most important for you. When you don’t accomplish what you truly want, you may feel confused, compromised, and frustrated. Many people try to use time management techniques that work for others, only to be disappointed. Often this is because they don’t also identify the goals most important to them and gear the techniques toward those goals. In this workshop we will discuss effective time management techniques for good prioritizing.

12:00 pm in 243 Altgeld Hall,Friday, October 13, 2017

#### The Determinant of the Laplacian in Geometric Analysis

Abstract: In this talk I’ll introduce a few different types of Spectral Functions, and describe their use in geometry, culminating with an introduction to the Determinant of the Laplacian. I’ll spend some time trying to make sense of what this object could mean, especially since the eigenvalues of the laplacian accumulate at infinity. Zeta functions may be involved, but I promise the number $\frac{-1}{12}$ will be nowhere to be seen.

1:00 pm in 345 Altgeld Hall,Friday, October 13, 2017

#### Variation of inverse cascade spectrum for gravity waves due to condensate

###### Alexander O. Korotkevich   [email] (University of New Mexico)

Abstract: During most of numerical experiments in wave turbulence of gravity waves we operate on a discrete wavenumbers grid. As a result, if we consider formation of inverse cascade, propagation of action flux to the small wavenumbers is arrested at some scale due to inefficiency of resonant four-waves interactions. It results in formation of srong long wave background, which we call condensate using analogy with Bose-Einstein condensation in Statistical Physics. As it is shown in a long numerical experiment, inverse cascade spectrum in the presence of such a condensate has a different power than predicted by the Theory of Wave Turbulence. We propose some preliminary explanation to this interesting phenomenon.

3:00 pm in 341 Altgeld Hall,Friday, October 13, 2017

#### Depth in classical Coxeter groups

###### Alexander Woo (University of Idaho)

Abstract: Given a list of n objects, one would like to sort them - meaning rearrange them so that they are in order - as "cheaply" as possible. One naturally wants to know how cheaply a given list can be sorted and what the cheapest method for a given list actually is. The answer depends on the notion of "cheaply" one uses. One notion of "cost", called depth, was introduced by Petersen and Tenner, not just for permutations as in the original problem, but for elements of arbitrary Coxeter groups. They gave a combinatorial formula, with a constructive proof, for the depth of a permutation. We find a similar formula for symmetries of the n-cube. This is joint work with Eli Bagno, Riccardo Biagioli, and Moti Novick. This talk is intended to be ICLUE friendly

4:00 pm in 241 Altgeld Hall,Friday, October 13, 2017

#### Ribbon Graphs in Geometry

###### Cameron Rudd (UIUC)

Abstract: Ribbon graphs are combinatorial structures that correspond naturally to Riemann surfaces. In this talk I will introduce ribbon graphs and describe their relationship with Riemann surfaces, emphasizing their geometric content. Depending on time, I will also discuss some striking applications of these objects in mathematics.