Complex Analysis and Dynamics Seminar

Department of Mathematics
Graduate Center of CUNY

Fridays 2:00 - 3:00 pm
Room 5417
Organizers: Ara Basmajian, Patrick Hooper, Jun Hu, and Saeed Zakeri

Past seminars:

Fall 2006, Spring 2007
Fall 2007, Spring 2008
Fall 2008, Spring 2009
Fall 2009, Spring 2010
Fall 2010, Spring 2011
Fall 2011, Spring 2012
Fall 2012, Spring 2013
Fall 2013, Spring 2014

Fall 2014:

Sep 5: Max Fortier Bourque (Graduate Center of CUNY)
Moving one Riemann Surface Inside Another

In this talk, I will sketch a proof of the following parametric homotopy principle: If two holomorphic embeddings between Riemann surfaces are homotopic, then they are isotopic through holomorphic embeddings. The proof uses a generalization of Teichmuller's theorem for quasiconformal embeddings, the geometry of quadratic differentials, and Gardiner's variational formula for extremal length.

Sep 12: Feng Luo (Rutgers University)
A Dilogarithm Identity on the Moduli Space of Curves

We establish an identity for closed hyperbolic surfaces whose terms depend on the dilogarithms of the lengths of simple closed geodesics in all 3-holed spheres and 1-holed tori in the surface. This is joint work with Ser Peow Tan.

Sep 19: Yunhui Wu (Rice University)
Translation Lengths of Parabolic Isometries of CAT(0) Spaces and its Application to the Geometry and Topology of Hadamard Manifolds

A CAT(0) space is a complete path-metric space with a certain inequality property. In this talk, we will discuss the translation length of parabolic isometries of CAT(0) spaces. As an application, we will connect several open problems and conjectures on Hadamard manifolds and moduli spaces of closed surfaces.

Sep 26: No seminar

Oct 3: No seminar

Oct 10: Athanase Papadopoulos (Université de Strasbourg)

Oct 17: OPEN

Oct 24: No seminar because of the Ahlfors-Bers Colloquium at Yale University

Oct 31: OPEN

Nov 7: OPEN

Nov 14: John Loftin (Rutgers University)

Nov 21: Steven Frankel (Yale University)

Nov 28: No seminar

Dec 5: Rodrigo Trevino (Courant Institute, New York University)

Dec 12: OPEN

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