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SUMMARY:Billiards\, dynamics\, and the moduli space of Riemann surfaces [L
 ecture]
DTSTART:20260113T090000Z
DTEND:20260113T094500Z
DTSTAMP:20260314T232400Z
UID:indico-event-1010@math-events.uni-bonn.de
DESCRIPTION:Speakers: Paul Apisa\n\nThe Hodge bundle is the space whose po
 ints correspond to Riemann surfaces equipped with holomorphic 1-forms. Thi
 s space admits a GL(2\, R) action whose dynamics governs the geometry of t
 he moduli space of Riemann surfaces\, an object of central importance in g
 eometry\, algebra\, and physics. Building on work of Eskin and Mirzakhani\
 , I will describe my work on a program to classify GL(2\, R) orbit closure
 s and derive consequences for deceptively simple sounding problems about b
 illiards in polygons. Along the way\, I will describe an application of Hu
 rwitz spaces to realize a hope of McMullen of describing intricate orbit c
 losures with finite combinatorial data.\n\nhttps://math-events.uni-bonn.de
 /event/1010/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1010/
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