When: Wednesdays 12:15-1:15pm Where: CP 122 Who: All are welcome. Whom to Contact: Quanlei Fang,Yunchun Hu, Mehdi Lejmi |
|
Spring 2019 Schedule
Wednesday Feb 13: Dr. Mehdi Lejmi, The Lie algebra of holomorphic vector fields on complex manifolds, part I Abstract
I will discuss properties of holomorphic vector fields on Kähler manifolds. If time permits, I will prove a theorem due to Lichnerowicz that the Lie algebra of holomorphic vector fields on a Kähler manifold with constant scalar curvature Kähler metric is reductive. If time permits I will also discuss which properties can be extended to the almost-Kähler geometry.
Wednesday Feb 20: Dr. Mehdi Lejmi, The Lie algebra of holomorphic vector fields on complex manifolds, part II
Wednesday Feb 27: Dr. Mehdi Lejmi, The Lie algebra of holomorphic vector fields on complex manifolds, part III
Wednesday Mar 6: Dr. Mehdi Lejmi, The Lie algebra of holomorphic vector fields on complex manifolds, part IV
Wednesday Mar 13: Dr. Cormac O'Sullivan, The saddle-point methods of Riemann and Perron Abstract
If you graph the absolute value of a holomorphic function you get a strange landscape with valleys and saddles but no mountain peaks. For estimating integrals of holomorphic functions along contours, the saddle-points are key. Riemann and later Perron perfected the saddle-point method and we'll look at their examples, including finding asymptotics of the Riemann zeta and the Gamma function.
Wednesday Mar 20: Dr. Yunchun Hu Circle endomorphism with piecewise constant martingales, part I
Wednesday Mar 27: Dr. Yunchun Hu Circle endomorphism with piecewise constant martingales, part II
Wednesday Apr 3: Dr. Yunchun Hu Circle endomorphism with piecewise constant martingales, part III
Wednesday Apr 10: Dr. Yunchun Hu Circle endomorphism with piecewise constant martingales, part IV
Wednesday Apr 17: no meeting
Wednesday May 1: Dr. Quanlei Fang Clifford algebras
Wednesday May 8: joint lunch
|