Spring 2011

** Organizers: Basak Gurel and Ioana Suvaina
**

** Wednesdays, ****3:10-4:00pm**** in SC 1310 **(unless
otherwise noted)

Related seminars also
announced.

**Wednesday, February 2nd, 2011
**

__Speaker:__** Michael Chance, ****Vanderbilt**** ****University**

__Title__**:** **Positive
Paths
in
Sp(2n)
**

__Abstract__**: **Positive paths arise frequently when studying
Hamiltonian flows near local maxima. We will discuss some results
about

the positive fundamental group, as well as some of the structure of
Sp(2n) itself.

**Wednesday, February
16, 2011
**

__Speaker:__** Michael Chance, ****Vanderbilt**** ****University**

__Title__**:** **Positive
Paths
in
Sp(2n),
II
**

__Abstract__**: **see above

**Wednesday, March
16, 2011
**

__Speaker:__** Mehdi Lejmi, ****Vanderbilt**** ****University**

__Title__**:** **Desingularization
of
constant
scalar
curvature
compact
Kahler
orbifolds
**

to construct another Kahler orbifold by choosing finitely many points and replacing a small neighborhood of each point by a piece of

an ALE space with zero scalar curvature. Then, one can prove the existence of a constant scalar curvature Kahler form on the obtained

orbifold if we suppose that the initial orbifold is nondegenerate.

**Thursday, March
17, 2011, COLLOQUIUM
**

__Speaker:__** Claude LeBrun, ****Stony Brook**** ****University**

__Title__**:** **On
Four-Dimensional
Einstein
Manifolds
**

determine which smooth compact n-manifolds admit such metrics. In this talk, I will describe recent progress regarding the

4-dimensional case. These results specifically concern 4-manifolds that also happen to carry either a complex structure or a

symplectic structure.

**Tuesday, March 22, 2011, 4:10- 5:00 pm
in SC 1320
**

__Speaker:__** Viktor Ginzburg, **** ****UC
Santa Cruz
**

__Title__**:** **Hamiltonian
Hyperkahler
Floer
Theory
**

**Wednesday, March
30, 2011
**

__Speaker:__** Inanc Baykur, ****Brandeis**** ****University**

__Title__**:** **Smooth
four-manifolds,
surgeries
along
tori, and exotica
**

new infinite families of pairwise non-diffeomorphic four-manifolds within the same homeomorphism class, and in (2) relating

homeomorphic but not diffeomorphic four-manifolds. Meanwhile, we are going to unfold the strong affiliation of round handles with

smooth four-manifolds.

**Wednesday,
April 6th, 2011
**

__Speaker:__** Basak Gurel, ****Vanderbilt University
**

__Title__**:** **Conley
conjecture
for negative monotone symplectic manifolds**

**Wednesday,
April 13th, 2011
**

__Speaker:__** Weimin Chen, ****UMass Amherst**

__Title__**:** **Complexity
versus
Symmetry
for a Smooth Four-manifold
**

that the topology of M is necessarily complicated? And moreover, if this is not true, then what can be said about M? In the talk we will

discuss these questions and related issues when M is a smooth four-manifold.

Old Seminar Web-Pages: Fall 2009, Fall 2010