Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, March 1, 2017.

     .
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.
    February 2017            March 2017             April 2017     
 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             1  2  3  4                      1
  5  6  7  8  9 10 11    5  6  7  8  9 10 11    2  3  4  5  6  7  8
 12 13 14 15 16 17 18   12 13 14 15 16 17 18    9 10 11 12 13 14 15
 19 20 21 22 23 24 25   19 20 21 22 23 24 25   16 17 18 19 20 21 22
 26 27 28               26 27 28 29 30 31      23 24 25 26 27 28 29
                                               30                  

Wednesday, March 1, 2017

3:00 pm in 243 Altgeld Hall,Wednesday, March 1, 2017

Quotient spaces, Lie theory and quantization

Ivan Contreras (UIUC)

Abstract: We encounter quotient spaces everywhere in mathematics: circles, cohomology groups, moduli spaces. And sometimes physicists come up with interpretations of such spaces in terms of the symmetries of a given theory. In this talk I will explain how a 2 dimensional topological field theory, called the Poisson sigma model, produce interesting symplectic quotient spaces and its quantization produce deformations of Poisson brackets.

4:00 pm in 245 Altgeld Hall,Wednesday, March 1, 2017

Convexity and curvature in space-time geometry

William Karr (UIUC Math)

Abstract: A space-time is said to satisfy $\mathcal{R} \geq K$ if the sectional curvatures of spacelike planes are bounded below by $K$ and the sectional curvatures of timelike planes are bounded above by $K$. Similarly, one can define $\mathcal{R} \leq K$ by reversing the inequalities. These conditions naturally generalize the notion of curvature bounds for Riemannian manifolds to the Lorentzian setting. We describe how these conditions can be used to construct two types of convex functions. We then describe two geometric consequences of space-times supporting these functions. One result establishes geodesic connectedness for a class of space-times satisfying $\mathcal{R} \geq 0$. Another result rules out submanifolds associated with black holes and wormholes in certain domains of space-times satisfying $\mathcal{R} \leq 0$. This is joint work with Stephanie Alexander.