Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, September 4, 2014.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
     August 2014           September 2014          October 2014
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2       1  2  3  4  5  6             1  2  3  4
3  4  5  6  7  8  9    7  8  9 10 11 12 13    5  6  7  8  9 10 11
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24 25 26 27 28 29 30   28 29 30               26 27 28 29 30 31
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Thursday, September 4, 2014

11:00 am in 241 Altgeld Hall,Thursday, September 4, 2014

#### Elliptic curves, modular forms, Hida families

###### R. Sujatha (Univ. British Columbia)

Abstract: Iwasawa theory provides a unifying strand that allows for a study of the Galois representations arising from elliptic curves and modular forms. The invariants arising from this study provides useful information on concrete problems like the study of rational points of elliptic curves. In this talk, we shall explain how some of these techniques can be extended to study Iwasawa theory of Hida families over non-commutative $p$-adic Lie extensions.

1:00 pm in Altgeld Hall 243,Thursday, September 4, 2014

#### Acylindrically hyperbolic groups and small cancellation quotients

###### Michael Hull (University of Illinois at Chicago)

Abstract: We will discuss the class of acylindrically hyperbolic groups, a generalization of hyperbolic and relatively hyperbolic groups which includes mapping class groups, $Out(F_n)$ and many other examples. In particular, we will discuss certain generalizations of small cancellation theory to the class of acylindrically hyperbolic groups and the properties and applications of the associated quotient groups. A video recording of this talk can be found at http://gear.math.illinois.edu/events/Geometry-Groups-Dynamics-GEAR-Seminar.html

3:00 pm in 243 Altgeld Hall,Thursday, September 4, 2014

#### Organizational Meeting

3:00 pm in Altgeld Hall102 Altgeld Hall,Thursday, September 4, 2014

#### Two Problems on Building a Geometrical MOOC

###### Shiya Liu and George Francis   [email] (UIUC)

Abstract: This past summer, Shiya Liu and I worked on two hurdles to overcome before we can build a mathematical MOOC. One is a better way than multiple choice questions for automatic assessment and the second is on the automatic assessment of geometrical constructions in the hyperbolic plane. We will report on our progress. This is the first session of an irregularly scheduled seminar. If you wish to speak in this seminar please contact gfrancis@illinois.edu

4:00 pm in 245 Altgeld Hall,Thursday, September 4, 2014

#### Motives and Birational Geometry

###### R. Sujatha (University of British Columbia)

Abstract: The theory of motives has been a strong inspiring force for mathematical research in the last few decades. We shall discuss a categorical approach to the construction of birational motives and its implications for study of functors that are birational in nature. This is joint work with Bruno Kahn.