February 6, 2018
3:00PM - 4:00PM
Cockins Hall 240
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2018-02-06 16:00:00
2018-02-06 17:00:00
Topology Seminar - Yan Mary He
Title: Basmajian-type identities and Hausdorff dimension of limit setsSpeaker: Yan Mary He, The University of ChicagoAbstract: Basmajian's identity expresses the length of the boundary of a compact hyperbolic surface as a summation over the orthogeodesics on the surface. In this talk, I will introduce Basmajian-type series identities on limit sets associated to familiar complex dynamical systems. In particular, I will show how to extend Basmajian's identity to certain Schottky groups via analytic continuation. I will also discuss Basmajian-type identities for quadratic polynomials and its applications to Hausdorff dimension of Julia sets.Seminar URL: https://research.math.osu.edu/topology/
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
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Add to Calendar
2018-02-06 15:00:00
2018-02-06 16:00:00
Topology Seminar - Yan Mary He
Title: Basmajian-type identities and Hausdorff dimension of limit setsSpeaker: Yan Mary He, The University of ChicagoAbstract: Basmajian's identity expresses the length of the boundary of a compact hyperbolic surface as a summation over the orthogeodesics on the surface. In this talk, I will introduce Basmajian-type series identities on limit sets associated to familiar complex dynamical systems. In particular, I will show how to extend Basmajian's identity to certain Schottky groups via analytic continuation. I will also discuss Basmajian-type identities for quadratic polynomials and its applications to Hausdorff dimension of Julia sets.Seminar URL: https://research.math.osu.edu/topology/
Cockins Hall 240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Basmajian-type identities and Hausdorff dimension of limit sets
Speaker: Yan Mary He, The University of Chicago
Abstract: Basmajian's identity expresses the length of the boundary of a compact hyperbolic surface as a summation over the orthogeodesics on the surface. In this talk, I will introduce Basmajian-type series identities on limit sets associated to familiar complex dynamical systems. In particular, I will show how to extend Basmajian's identity to certain Schottky groups via analytic continuation. I will also discuss Basmajian-type identities for quadratic polynomials and its applications to Hausdorff dimension of Julia sets.
Seminar URL: https://research.math.osu.edu/topology/
