Previous
years: 20122013,
20132014.

September 4,
Tamás Darvas
Analytic
test configurations after Ross and WittNystrom

September
11, Tamás
Darvas
Analytic
test configurations after Ross and WittNystrom (continued)

September
18, Ryan
Hunter
Analytic test configurations
after Ross and WittNystrom (continued)

October
9, Matthew
Dellatorre
The
HeleShaw flow after Ross and WittNystrom.

October
16, Ryan Hunter
Harmonic discs of solutions to the
homogeneous MongeAmpere equation after Ross and WittNystrom.

October
30, Yanir Rubinstein
Dirichlet Duality and
the Nonlinear Dirichlet Problem after Harvey and Lawson.

November
6, Matthew Dellatorre
The BremermanDirichlet
problem for qplurisubharmonic functions after Slodkowski,

November
20, Tamas Darvas
Dirichlet Duality and the
Nonlinear Dirichlet Problem after Harvey and Lawson (continued)

November
25, 3PM, Ryan Hunter
Dirichlet Duality and the
Nonlinear Dirichlet Problem after Harvey and Lawson (continued)

December
2, 3 PM, Matthew Dellatorre
Dirichlet Duality and
the Nonlinear Dirichlet Problem after Harvey and Lawson
(continued)

December
5, 3 PM, Renjie Feng,
Title: The supremum of L^2
normalized random holomorphic fields
Abstract:
In this talk, I will define random polynomials and their
generalization to complex manifolds. The main result is regarding
the landscape of such random holomorphic fields: I will show that
the expected value and median of the supremum of L^2 normalized
random holomorphic fields of degree n on mdimensional Kahler
manifolds are asymptotically of order \sqrt{m\log n}. This is the
joint work with S. Zelditch.

January
15, Tamas Darvas
Title: The space of positive
Lagrangians (after J. Solomon).

January
22, Tamas Darvas
Title: The space of positive Lagrangians
(after J. Solomon).

January
29, Matthew Dellatorre
Title: The special
Lagrangian equation (after Harvey and Lawson).

February
5, Liangming Shen (Princeton University)
Title:
The unnormalized conical KahlerRicci flow.

February
12, Ryan Hunter
Title: The space of positive
Lagrangians: the Calabi homomorphism (after J. Solomon).

March
26, Yanir Rubinstein
Title: The space of positive
Lagrangians: the geodesic equation.

April
9, Tamas Darvas
Title: Curvature of the space of
positive Lagrangians (after J. Solomon).

April
16, Jesse GellRedman
Title: Introduction to
Geometric Microlocal Analysis
Abstract:
We discuss some of the basic structures in the modern perspective
on Microlocal Analysis (which we call "geometric")
which goes back to Melrose in the early 80's. The original
objects of study were linear elliptic operators on noncompact
manifolds, their mapping properties, spectral theory, etc. We
will focus our discussion on the application of these techniques
to certain singular spaces, beginning with manifolds with conic
singularities, arriving (hopefully) at a generalizable framework
for semilinear elliptic equations on singular spaces. Related
work includes that of JeffersMazzeoRubinstein on
K\"ahlerEinstein metrics, but we will focus on the
substantially simpler harmonic map problem. The first lecture
will be mostly motivation and technical background, and hopefully
the beginning of the discussion of the linear elliptic theory.

May
7, Jesse GellRedman
Title: Introduction to
Geometric Microlocal Analysis

May
14, Jesse GellRedman
Title: Introduction to
Geometric Microlocal Analysis