UCSD Differential Geometry Seminar (Math 258) 2002-03
Unless otherwise noted, all seminars are
on Wednesdays 4-5 pm in Room 5829 APM
|
UCSD Differential Geometry Seminar (Math 258) 2002-03 Unless otherwise noted, all seminars are
on Wednesdays 4-5 pm in Room 5829 APM |
|
April 2
Title: Heat kernel in infinite dimension
Abstract:
April 9
Mario Micallef, Warwick Univ. Title: Surgeries on manifolds with
almost positive isotropic curvature
Abstract:It is known that a simply connected manifold with
positive isotropic curvature (PIC) is homeomorphic
to a sphere. The observation that the product metric
on S^1 \times S^n has PIC and the fact that the class
of manifolds with PIC is closed under connected sums
led to the conjecture that the fundamental group of
manifolds with PIC is almost free. Significant progress
on this conjecture has recently been made by Ailana Fraser.
In this talk I will describe the notion of almost PIC (which
still implies positive scalar curvature) and I will indicate
why this class of manifolds is closed under surgery over a
circle. In particular, there is no restriction on the
fundamental group for manifolds with almost PIC. By
considering higher dimensional surgeries, there is even
reason to believe that the class of simply connected
manifolds with almost PIC coincides with that of
positive scalar curvature.
This is joint work in progress with Ingi Petursson.
April 16
Yuan Lou, Ohio State Univ. Title: Diffusion, advection, and geometry of population habitats
Abstract: We will discuss the effects of advection along environmental
gradients on logistic reaction-diffusion models for population growth.
The local population growth rate is assumed to be spatially inhomogeneous,
and the advection is taken to be a multiple of the gradient of the
local population growth rate. We show that the effects of such advection
depend crucially on the gemeotry of the habitats of population: if the
habitat is convex, the movement in the direction of the gradient of the
growth rate is beneficial to the population, while such advection could
be harmful for certain non-convex habitats.
April 21 (special date, same place),
Mu-tao Wang, Columbia Univ.Title: Smoothing Lipschitz submanifolds by mean curvature flow
Abstract:
April 30
Ben Chow, UCSDTitle: Certain collapsing sequences of solutions to Ricci flow
Abstract:
May 7
Yu Yuan, University of WashingtonTitle: A Bernstein problem for special lagrangian equation
Abstract:
May 14
Huai-dong Cao, IPAM and Texas A &M
Title: The Ricci flow on compact Kaehler manifolds with positive
bisectional curvature
Abstract:
May 20 (Special date, joint event with UC Irvine)
Hung-Hsi Wu, UC Berkeley
Title: Rank of the Ricci curvature,
4:30-5:30pm at Room 6218
Abstract:
May 27 (Special date)
Mu-Tao Wang, Colombia Univ.
Title: Mean Curvature Flow of Lagrangian Submanifolds.
4:00-5:00pm at Room 6218
Abstract:
June 2 (Special date) 4:00-5:00pm
S. B. Angenent, Univ. WisconsinTitle: Canceled
Abstract:
Title:
Abstract:
Questions: benchow@math.ucsd.edu or lni@math.ucsd.edu