Michael Hartz, Washington University in Saint Louis

Cupples I, Room 199

Abstract: A classical result of Sz.-Nagy and Foias shows that every contraction $T$ on a Hilbert space without unitary summand admits an $H^\infty$-functional calculus, that is, one can make sense o

Yasha Berchenko-Kogan, Washington University in Saint Louis

Cupples I, Room 6

Abstract: Given a manifold X and a manifold M that is embedded in Euclidean space R^N, we can consider functions in some Sobolev space from X to R^N whose values lie in M almost everywhere. These are called Sobolev maps from X to M.

Abstract: I will describe joint work with E. Meinrenken and Y. Song. Let G be a compact Lie group, LG the loop group, and M a proper Hamiltonian LG-space. We construct a canonical spinor module for M.

Mohammad Jabbari, Washington University in Saint Louis

Cupples I, Room 6

Abstract: Hilbert's third problem, originally duo to Gauss, asks: "Does there exist two tetrahedra with equal (namely equiarea) bases and equal heights which can in no way be split up into finitely many congruent tetrahedra, and which can not

Abstract: Since Hamiltonian systems have symplectic flows, it is often advantageous to use symplectic integrators when solutions must be approximated numerically.