Steven Frankel, Washington University in Saint Louis

Cupples I, room 6

Abstract: On a 3-manifold, certain geometric and dynamical objects can be understood “at infinity” in terms of a “universal circle,” a topological circle equipped with an action of the fundamental group.

Abstract: Beilinson and Bernstein generalized the Borel-Weil-Bott theorem and showed that representations of a (noncompact) reductive Lie group G can be realized as D-modules on flag variety.

Abstract: In this talk, we will introduce Connes' longitudinal index theorem for foliations. If time permits, we will discuss some recent developments about generalizing Conne's theorem.

Renato Feres, Washington University in Saint Louis

Cupples I, room 6

Abstract: A random dynamical system is said to be time-reversible if the statistical properties of orbits do not change after reversing the arrow of time.

Mohammad Jabbari, Washington University in Saint Louis

Cupples I, room 199

Abstract: Any set of natural numbers with nonzero upper density contains arbitrary large (but finite) arithmetic progressions (Szemeredi, 1975). Equivalently, given natural number k and positive real number a there exists a natural number N su

Mohammad Jabbari, Washington University in Saint Louis

Cupples I, room 6

Abstract: Given natural numbers c and k there exists a natural number W such that any coloring of the first W natural numbers with c colors contains a monochromatic arithmetic progression with k terms (van der Waerden, 1927).