[Binghamton Geometry/Topology Seminar] 2 talks March 26

Marco Varisco marco at math.binghamton.edu
Mon Mar 23 10:23:52 EDT 2009


BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR
  http://www.math.binghamton.edu/dept/topsem/

We have two talks this Thursday.

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FIRST TALK:

Date:  Thursday, March 26, 2009

Time:  2:50 pm

Place:  Library North 2205

Speaker:  Xiangjin Xu

Title:  New Perelman LYH type differential Harnack inequalities and
entropy formulas for linear heat equations

Abstract:  In this talk, we will discuss the (a,K)-differential
Harnack inequality for the positive solutions of the linear heat
equation on general complete Riemannian manifolds with Ricci curvature
bounded from below, i.e., Rij>-Kgij with some real constant K, and
prove that the corresponding (a,K)-entropy formula is monotone
non-increasing. As applications, we obtain the pointwise Harnack
inequality for the positive solutions of the linear heat equation. We
also prove the sharp differential Harnack inequality for the positive
heat kernel of the linear heat equation on general complete Riemannian
manifolds, and obtain a sharp upper bound of the Nash's entropy for
heat kernel. This is the joint work with Dr. Junfang Li in UAB.


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SECOND TALK (COLLOQUIUM):

Date:  Thursday, March 26, 2009

Time:  4:30 pm

Place:  Lecture Hall 9

Speaker:  Peter Hilton

Title:  Recollections of Wartime Code Breaking


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