Department of

# Mathematics

Seminar Calendar
for events the day of Monday, November 17, 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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Monday, November 17, 2014

3:00 pm in 341 Altgeld Hall,Monday, November 17, 2014

#### Flat connections and loop spaces

###### Camilo Arias Abad (U Toronto Math)

Abstract: If $E\rightarrow X$ is a flat vector bundle, and $\pi: LX \rightarrow X$ is the map given by evaluation at $1 \in S^1$, then the pull back bundle $\pi^*E$ is a flat bundle equipped with a canonical automorphism given by the holonomy. I will explain that this construction naturally generalizes to the case of flat $\mathbb{Z}$-graded connections on $X$. Moreover, the restriction of the holonomy automorphism to the based loop space provides a representation of the Pontryagin algebra $C_*(\Omega^{\mathsf{M}} X)$. I will describe how this construction fits into the general story of higher dimensional local systems. The talk is based on joint work in progress with Florian Sch\"atz.

4:00 pm in 243 Altgeld Hall,Monday, November 17, 2014

###### Josh Wen (UIUC Math)

Abstract: An operad can be viewed as a meta object that governs a class of algebraic objects, much like how a moduli space in some way governs a class of geometric objects. Once we've been given a suitable definition of such a thing and what it means for two such things to be (Koszul) dual, we can make precise an abstract statement like "commutative algebras are dual to Lie algebras". If time permits, I'll present some concrete consequences of our abstract hand-waving.

4:00 pm in 141 Altgeld Hall,Monday, November 17, 2014

#### Strategies for a Successful Job Search

###### Jennifer Kim   [email] (Employer Outreach, Graduate College)

Abstract: Presentation and discussion on "Strategies for a Successful Job Search". All graduate students and postdocs are welcome. Preparation: read the overview of résumés at the Graduate College Career Development website (http://www.grad.illinois.edu/careerservices/resumes ), and examine samples of different types of résumé (http://www.grad.illinois.edu/careerservices/resumestructure ).

5:00 pm in 245 Altgeld Hall,Monday, November 17, 2014

#### How internet companies make money, the start-up explosion, and how math majors fit into it all

###### Nicholas Baier (AOL)

Abstract: Please join Nick Baier to talk about how internet companies make money, the start-up explosion, and how math majors fit into it all. With 2.8 billion worldwide users spending 62 billion hours a month on the internet it is no longer the industry of the future but the industry of the present. Nick is the Business Manager of AOL Mail from the University of Illinois class of 2010 with a BA in Math and a BS in Econ and former President of MATRIX! Pizza will be provided!

5:15 pm in 141 Altgeld Hall,Monday, November 17, 2014

#### CB-entropy

###### Marius Junge (UIUC )

Abstract: I will start late-and discuss quantum group channels and how to calculate their cb-entropy.