Date: Tuesdays at 4:30pm (and some Thursdays).
Room:
Mathematics Building 3206.

Organized by:
Y.A. Rubinstein .
.
The aim of this seminar is to attract graduate students to
Geometric Analysis, through learning and research talks.
All talks should be accessible to beginning graduate students who
might have background either in PDE or in geometry, but not necessarily
in both.

October 9
Ben Sibley (Maryland)
Introduction to vector bundles and Yang-Mills equations, part I

October 16
Ben Sibley (Maryland)
Introduction to vector bundles and Yang-Mills equations, part II

October 25 (Thursday), 4:15pm, room 3206 (note special day AND time)
Kanna Nakamura (Maryland)
Introduction to the Viscosity Solutions of Hamilton-Jacobi Equations

November 1 (Thursday), 4:30pm, room 3206 (note special day)
Kanna Nakamura (Maryland)
Viscosity Solutions with Shocks: Geometric Approach

November 15 (Thursday), 3:30pm, room 3206 (within PDE/Applied Math Seminar; note special day AND
time)
Yanir Rubinstein
Monge-Ampere meets Hamilton-Jacobi

November 20
Ben Sibley (Maryland)
Asymptotics of the Yang-Mills flow on Kahler Manifolds

February 14 (Thursday), 2pm, room 0411 (note special day, time, room)
Otis Chodosh (Stanford)
An Introduction to Linearization Stability of the Scalar Curvature Map

The scalar curvature map is the map from metrics on a fixed
manifold M to functions on M which maps a metric to its scalar
curvature. One may ask about the regularity of the set of metrics
with the same scalar curvature function. Is it a (finite
dimensional?) manifold? What is its tangent space? We'll describe some
answers to this question along with some consequences.

February 26, 2pm, room 0411 (note special time, room)
Tamas Darvas (Purdue)
An introduction to free boundaries and obstacle problems for the Laplacian

The purpose of this talk is to provide a very brief introduction to obstacle problems for
the Laplacian. We will try to summarize the most basic techniques available in studying the
regularity of the free boundary.

April 2, 2pm, room 3206 (note special time, room)
Yi Wang (Stanford)
Isoperimetric inequality and Q-curvature

Using the techniques of A_p weights, we study the relationships between
the isoperimetric inequality with the Paneitz Q-curvature. We show
a Fiala-Huber type isoperimetric inequality for higher dimensions in which
the isoperimetric constant depends only on the integrals of the
Q-curvature.

April 12, 3:15pm, room EGR 1202 (Calabifest)
Simon Donaldson (Imperial)
Kahler-Einstein Metrics, Extremal Metrics and Stability

April 15, 11am, room 3206 (note special time, room)
Simon Donaldson (Imperial)
Informal talk on Kahler-Einstein geometry, part I

April 15, 2pm, room 3206 (note special time, room)
Simon Donaldson (Imperial)
Informal talk on Kahler-Einstein geometry, part II
(note: no sound for minutes 13-17).

April 16, 11am, room 3206 (note special time, room)
Simon Donaldson (Imperial)
Informal talk on Kahler-Einstein geometry, part III

April 17, 2pm, room 3206 (note special time, room)
Simon Donaldson (Imperial)
Informal talk on Kahler-Einstein geometry, part IV
(note: no sound after minute 38).