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DTSTAMP:20261025T165532
DTSTART;TZID=America/Detroit:20261026T160000
DTEND;TZID=America/Detroit:20261026T170000
SUMMARY:Lecture / Discussion:Dynamics Seminar: Automorphisms of the Grand Arc Graph
DESCRIPTION:Mapping class groups of finite-type surfaces have often been studied via their action on various graphs\, whose vertices correspond to homotopy classes of certain arcs or curves on the surface\, with edges between homotopically disjoint arcs or curves. In 2006\, Ivanov posed a ​\"metaconjecture\": every object naturally associated to a surface\, which admits an action of the mapping class group\, with sufficiently rich structure has its group of automorphisms be the mapping class group. This is true for a lot of these arc/curve graphs — in particular\, this means that the combinatorial structure of these graphs perfectly captures the topology of the surface. \n\nIn this talk\, we shall explore Ivanov’s metaconjecture for mapping class groups of infinite-type surfaces. We shall focus on the action on “the grand arc graph”\, first introduced by Bar-Natan—Verberne\, which is an infinite-diameter\, hyperbolic graph defined on a large class of infinite-type surfaces. This talk contains joint work with G. Shaji.
UID:152182-21913184@events.umich.edu
URL:https://events.umich.edu/event/152182
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Dynamics
LOCATION:East Hall - 3096
CONTACT:
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DTSTAMP:20261017T105456
DTSTART;TZID=America/Detroit:20261026T160000
DTEND;TZID=America/Detroit:20261026T170000
SUMMARY:Workshop / Seminar:GLNT: Analytic approaches to factorization of singular moduli
DESCRIPTION:Abstract: In the 1980s\, Gross and Zagier proved factorization formula for norm of difference of singular moduli\, on their way to the Gross-Zagier formula. In that work\, there were two approaches\, one algebraic and one analytic. It turns out that the algebraic approach could produce factorization before taking the norm\, whereas the analytic approach could not. In this talk\, I will report on-going work with Mike Daas\, where we aim to remove the norm through a p-adic analytic approach in the case of Shimura curves.
UID:153219-21915436@events.umich.edu
URL:https://events.umich.edu/event/153219
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4088
CONTACT:
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