Symplectic and Differential Geometry Seminar
   Vanderbilt University
   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 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

                  Abstract:  Given a constant scalar curvature compact Kahler orbifold with isolated singularities, the idea due to Arezzo and Pacard is
                    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

                  Abstract: An Einstein metric is by definition a Riemannian metric of constant Ricci curvature. One would like to completely
                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

                  Abstract: 

Wednesday, March 30, 2011

Speaker: Inanc Baykur, Brandeis University

Title: Smooth four-manifolds, surgeries along tori, and exotica

                  Abstract:   In this talk, we will demonstrate the novel role of surgeries along embedded tori in four-manifolds both in (1) producing
                    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 

                  Abstract:  

Wednesday,  April 13th, 2011

Speaker: Weimin Chen, UMass Amherst

Title: Complexity versus Symmetry for a Smooth Four-manifold

                  Abstract:  Given a compact closed smooth manifold M, one natural question asks that if M possesses a large symmetry group, is it true
                    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