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DTSTART;TZID=America/Chicago:20261005T160000
DTEND;TZID=America/Chicago:20261005T170000
DTSTAMP:20260926T111234Z
SUMMARY:Analysis Seminar | Alain Kangabire (MIT)
UID:646374@northwestern.edu
TZID:America/Chicago
DESCRIPTION:Title: Trace formula for billiard flow on surfaces with concave boundary  Abstract: We study grazing closed trajectories of the billiard flow $\varphi^t$ on a compact surface $(\Sigma\,g)$ with concave boundary. Under a non-degeneracy condition\, which is satisfied for example when $(\Sigma\,g)$ has negative sectional curvature\, we compute the trace of a regularized pullback $E_{\epsilon}(\varphi^t)^* E_{\epsilon}$ near a closed trajectory grazing once\, which is an analogue of the Atiyah--Bott--Guillemin trace formula for closed billiard trajectories.
LOCATION:Lunt Hall\, 107\, 2033 Sheridan Road\, Evanston\, IL 60208
TRANSP:OPAQUE
URL:https://planitpurple.northwestern.edu/event/646374
CREATED:20260509T050000Z
STATUS:CONFIRMED
LAST-MODIFIED:20260921T152554Z
PRIORITY:0
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