Date: Tuesdays at 4:30pm.
Room: Krieger Hall 308 (JHU), Mathematics Building 3206 (UMD).
Organized by:
R. Feng,
J. Martinez Garcia,
V.P. Pingali,
Y.A. Rubinstein,
B.
Shiffman,
R. Wentworth,
S. Wolpert.
The seminar is a combination of a learning and a research seminar.
The first 15 minutes or so of each talk are a "trivial notions" talk
defining all basic notions, giving examples and intuition to the subject,
and should be accessible to a beginning graduate student. The next 50
minutes are a regular seminar talk.
Previous years:
20122013.

September 10, UMD
Jan Swoboda (Bonn & Stanford)
The Higgs bundle moduli space and L^2 cohomology
I will review some known results and several open questions
concerning the L^2 cohomology of various noncompact moduli
spaces carrying a hyperkahler metric. Particular attention will
be given to the moduli space M of Higgs bundles over a Riemann
surface, which arises as the space of solutions of a certain
system of nonlinear PDEs, called selfduality equations. Although
many aspects of M as a hyperkahler manifold are by now
wellestablished, it is still an open problem to describe the
geometry of this noncompact manifold near its ends. In this
talk, I shall present some preliminary results in that
direction. (Joint work with Rafe Mazzeo, Hartmut Weiss, and
Frederik Witt).

September 24, JHU
Tristan Collins (Columbia)
The boundary of the Kahler cone
We will discuss a geometric characterization of classes of
positive volume on the boundary of the Kahler cone of a compact
Kahler manifold. As an application, we will show that finite time
singularities of the KahlerRicci flow always form along analytic
subvarieties. This work is joint with Valentino Tosatti.

October 8, JHU
TBA
TBA

October 22, UMD
Luca di Cerbo (Duke)
TBA

November 12, UMD
Ronan Conlan (McMaster)
TBA

December 3, JHU
Jacob Sturm (Rutgers)
TBA
