Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, April 22, 2015.

     .
events for the
events containing  

(Requires a password.)
More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
      March 2015             April 2015              May 2015      
 Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
  1  2  3  4  5  6  7             1  2  3  4                   1  2
  8  9 10 11 12 13 14    5  6  7  8  9 10 11    3  4  5  6  7  8  9
 15 16 17 18 19 20 21   12 13 14 15 16 17 18   10 11 12 13 14 15 16
 22 23 24 25 26 27 28   19 20 21 22 23 24 25   17 18 19 20 21 22 23
 29 30 31               26 27 28 29 30         24 25 26 27 28 29 30
                                               31                  

Wednesday, April 22, 2015

3:00 pm in 345 Altgeld Hall,Wednesday, April 22, 2015

Cluster algebras, tilted algebras, and cluster-tilted algebras

Matej Penciak (UIUC)

Abstract: The goal of this talk is to introduce the three different algebras in the title. I will explain the original motivation for their study and more recent applications to quiver representations, algebraic geometry, and integrable systems.

4:00 pm in 145 Altgeld Hall,Wednesday, April 22, 2015

The impact of uncertainty, learning, and competition in a war of attrition

Hyok-Jon Dharma Kwon (UIUC Business Administration)

Abstract: We study the impact of uncertainty, learning, and competition on Bayesian decisions/strategies. In the first part of the talk, we present the impact of learning on the optimal policy and the time-to-decision in an infinite-horizon Bayesian sequential decision model with two irreversible alternatives: exit and expansion. In the second part of the talk, we discuss the interplay between learning effects and externalities in the problem of competitive investments with uncertain returns. In particular, we focus on regime of a war of attrition between two firms; in this regime, because of the opportunity to learn from the competitor's performance, each firm would prefer to wait until its rival invests first. Contrary to the conventional war of attrition where an increase in benefits for the follower generally delays the first move, an increase in the rate of learning--- which tends to benefit the follower---can hasten the first investment.

4:00 pm in 245 Altgeld Hall,Wednesday, April 22, 2015

Random Minkowski theorem.

Gregory Margulis (Yale University)

Abstract: This is a joint work with J.S.Athreya. Let n>1. We prove that the measure of the set of unimodular lattices in R^n that does not intersect a "large" volume subset of R^n is "small". This can be considered as a "random" analog of the classical Minkowski theorem in the geometry of numbers. Video of lecture is at https://youtu.be/Jt6MIK6ib80