Student Geometry/Topology

Date:  Monday, April 01, 2013
Location:  3096 East Hall (3:00 PM to 4:00 PM)

Title:  SL(2,Z)\SL(2,R)

Abstract:   We show that the homogeneous space in the title is homeomorphic to a knot complement in the three sphere. Thinking of this space as the unit tangent bundle of the modular curve, we discuss results of Ghys and Sarnak about linking numbers of geodesics in the modular curve and the missing knot in the three sphere. If time permits, we will discuss preliminary results on linking between certain geodesics in the modular curve and generalizations. 


Speaker:  Patrick Boland
Institution:  UM

Event Organizer:   Tengren Zhang    tengren@umich.edu

 

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