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DTSTART;TZID=America/New_York:20261002T120000
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CREATED:20260729T192944Z
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SUMMARY:Painlevé VI: the search for canonical representations
DESCRIPTION:Member Seminar \nSpeaker: Aaron Landesman \nTitle: Painlevé VI: the search for canonical representations \nAbstract: In 1902\, Painlevé classified second order differential equations whose only movable singularities are poles\, thereby obtaining the six Painlevé equations. Algebraic solutions to Painlevé’s sixth equation correspond to canonical triples of 2 by 2 complex matrices. One can alternatively view these canonical triples of matrices either as canonical representations of fundamental groups of surfaces or as local systems on certain moduli spaces of curves. In this talk\, based on joint work with Josh Lam and Daniel Litt\, we will survey what is known about these canonical representations.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-10226/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/2026/07/CMSA-Member-Seminar-10.2.26.docx-scaled.png
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DTSTART;TZID=America/New_York:20260925T120000
DTEND;TZID=America/New_York:20260925T130000
DTSTAMP:20260922T144234Z
CREATED:20260729T192854Z
LAST-MODIFIED:20260922T144234Z
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SUMMARY:Member Seminar
DESCRIPTION:Member Seminar \nSpeaker: Lorenzo Riva\, CMSA \nTitle: Un-extending extended TQFTs \nAbstract: An ordinary topological quantum field theory (TQFT) assigns invariants to manifolds of dimensions n in a way that is compatible with cutting-and-gluing along submanifolds of dimension n-1. An extended TQFT assigns invariants that are also compatible with cutting along submanifolds of all codimensions. One way to formalize these notions is via functors between higher categories: an ordinary TQFT is a functor from a 1-category of (n-1)-dimensional manifolds and n-dimensional bordisms\, while an extended TQFT is a functor from an n-category of k-dimensional manifolds (for k = 0\, 1\, … \, n) each of which is a bordism between bordisms between bordisms between… and so on. It’s generally harder to deal with n-categories than it is to deal with 1-categories\, so one might want to ask: can we reframe extended TQFTs in a 1-categorical context? We will answer this question during the talk.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-92526/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/2026/07/CMSA-Member-Seminar-9.25.26.docx-scaled.png
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DTSTART;TZID=America/New_York:20260911T120000
DTEND;TZID=America/New_York:20260911T130000
DTSTAMP:20260909T210818Z
CREATED:20241211T195028Z
LAST-MODIFIED:20260909T210818Z
UID:10003643-1789128000-1789131600@cmsa.fas.harvard.edu
SUMMARY:A beginner's guide to quantum unique ergodicity
DESCRIPTION:Member Seminar \nSpeaker: Elena Kim \nTitle: A beginner’s guide to quantum unique ergodicity \nAbstract: The Quantum Unique Ergodicity conjecture is one of the main open questions in quantum chaos. I will explain the conjecture and the progress towards its resolution.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-91126/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Member-Seminar-9.11.26.docx-scaled.png
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