Department of

# Mathematics

Seminar Calendar
for events the day of Friday, October 2, 2015.

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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 2, 2015

9:00 am in 443 Altgeld Hall,Friday, October 2, 2015

#### Affine symmetric groups, coloured diagram algebras and bacterial genome evolution.

###### Andrew Francis   [email] (University of Western Sydney)

Abstract: The inversion process in bacteria arises through the same biological process as knotting, and yet their modelling has been done with totally disjoint toolkits. In this talk I will report on some recent work modelling the inversion process with affine symmetric groups, and briefly report on a family of related problems and our progress towards a unified algebraic framework for the biology using coloured diagram algebras. Joint work with: Attila Egri-Nagy, Volker Gebhardt, Mark Tanaka, Shona Yu.

2:00 pm in 447 Altgeld Hall,Friday, October 2, 2015

#### Ergodicity of the geodesic flow on quotients of the hyperbolic plane

###### Anthony Sanchez (UIUC Math)

Abstract: The purpose of this talk is to introduce ideas from ergodic theory in the context of hyperbolic geometry and the geodesic flow. No prior knowledge of the words in the title is assumed.

4:00 pm in 243 Altgeld Hall,Friday, October 2, 2015

#### Goodwillie Hunting

###### Daniel Carmody (UIUC Math)

Abstract: In this talk I'll begin by introducing some of the basic machinery of homotopy theory including, but not limited to, homotopy pushouts/pullbacks and the category of $\Omega$-spectra. Once my hands are untied, I'll define 1-excisive functors and explain why we care about 1-excisive approximations to functors. I'll end by explaining the generalization to polynomial functors and briefly construct the Taylor tower. Time permitting, I'll answer the age-old question of whether or not Will Hunting gets the girl.

4:00 pm in 345 Altgeld Hall,Friday, October 2, 2015

#### On "Surreal numbers, derivations and transseries" by A. Berarducci and V. Mantova [arXiv link]

###### Santiago Camacho   [email] (UIUC Math)

Abstract: On the fourth installment of this series of talks, we will discuss the third section (Exponentiation) of the paper mentioned in the title.