 Past seminars:
Fall 2006,
Spring 2007
Fall 2007,
Spring 2008
Fall 2008,
Spring 2009
Fall 2009,
Spring 2010
Fall 2010,
Spring 2011
Fall 2011
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Spring 2012:
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Feb 3: Jun Hu (Brooklyn College and Graduate Center of CUNY)
Conformally Natural Extensions of Circle Maps
In this talk, I will give a brief overview of the works on conformally natural extensions of circle maps.
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Feb 10: Frederick Gardiner (Emeritus, Brooklyn College and Graduate Center of CUNY)
Double Poles Extremal Problems
We discuss the following topics: 1. Alternative definitions of extremal length; 2. Extremal problems for measured foliations; 3. The minimum norm principle; 4. The heights mapping;
5. Double pole extremal and a solution to Slodkowski's extension theorem for holomorphic motions; 6. Uniformization; 7. A direct construction of the Weierstrass $\wp$-function.
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Feb 17: Igor Rivin (Temple University)
Critical Points of Random Polynomials
I will discuss the distribution of critical points of a polynomial with the prescribed distribution of zeros.
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Feb 24: The seminar will feature two talks:
1:45-2:45 Xavier Buff (University of Toulouse)
TBA
3:00-4:00 Mike Wolf (Rice University)
TBA
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Mar 2: Jane Gilman (Rutgers University at Newark)
TBA
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Mar 9: Ilesanmi Adeboye (Wesleyan University)
Volume in Complex Hyperbolic Geometry
Complex hyperbolic space is the complex analogue of (real) hyperbolic space. The half-plane model
of the hyperbolic plane is also a model for complex hyperbolic 1-space. In higher dimensions, complex
hyperbolic manifolds are the simplest examples of Riemannian manifolds of variable negative curvature.
In the first half of this talk, I will define complex hyperbolic space and describe elementary aspects of its geometry. In the
second half, I will prove an explicit lower bound for the volume of a complex hyperbolic orbifold that depends only on dimension.
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March 23: Joshua Bowman (Stony Brook University)
TBA
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March 30: Babak Modami (Yale University)
Weil-Petersson Geodesics, Stability and Divergence
The Weil-Petersson (WP) metric is an incomplete metric on the Teichmüller space
of a surface, with negative sectional curvatures. The WP completion locus is a
union of strata which intersect each other in a pattern encoded by the curve
complex of the surface. In this talk we provide examples of diverging WP geodesic rays which travel
closer and closer to a chain of completion strata, as well as closed WP
geodesics in the thin part of the moduli space. These constructions are based on
stability of a class of hierarchy paths in the pants graph, a quasi-isometric
model for the WP metric, as well as some synthetic properties of the WP metric and
its geodesics.
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Apr 6: No meeting
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Apr 13: No meeting
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Apr 20: Dick Canary (University of Michigan)
TBA
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Apr 27: The seminar will feature two talks:
1:45-2:45 Howard Masur (University of Chicago)
TBA
3:00-4:00 Sarah Koch (Harvard University)
TBA
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May 4: Clifford Earle (Emeritus, Cornell University)
TBA
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May 11: Sudeb Mitra (Queens College and Graduate Center of CUNY)
TBA
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