Department of

Mathematics


Seminar Calendar
for events the day of Friday, March 13, 2015.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, March 13, 2015

1:00 pm in 345 Altgeld Hall,Friday, March 13, 2015

Algebraically closed fields with a generic character, Part 2

Minh Tran (UIUC)

Abstract: We (joint work with Hakobyan, T.) study the class $\mathcal{C}$ of two sorted structures $(F,K;\chi)$, where $F$ and $K$ are algebraically closed fields, $K$ has characteristic 0, and $\chi:F\to K$ is a generic multiplicative character which means $\chi$ is injective, multiplication preserving, and takes multiplicatively independent elements to algebraically independent elements over $\mathbb{Q}$. The examples of main interest are when $F=\mathbb{F}_{p}^{ac}$ and $K=\mathbb{Q}^{ac}$. We will discuss the following: Every strongly minimal set is non-orthogonal to $F$. Toward showing that every strongly minimal set is a Zariski Geometry, we equip $K^n$ with a natural topology and show this topology is Noetherian. We also show that the a generic character is inverse addition preserving, and induces a natural valuation ring structure on $\mathbb{Q}(\chi(F))$. This is the second of the two talks on this subject.

4:00 pm in 241 Altgeld Hall,Friday, March 13, 2015

Dynamics on the moduli space of translation surfaces and gap distributions

Caglar Uyanik (UIUC Math)

Abstract: After giving several equivalent definitions of translation surfaces, I will talk about the action of SL(2,R) on the space of translation surfaces. In particular, we relate dynamical properties of this action to distribution of gaps on lattice surfaces. There will be lots of pictures! This is joint work with Grace Work.

4:30 pm in 239 Altgeld Hall,Friday, March 13, 2015

Department of Mathematics Social Hour

Abstract: The Department of Mathematics spring social hour gathering will be held from 4:30-5:30 p.m. in the 239 Altgeld Hall. Everyone in the department is welcome to attend.