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DTSTART;TZID=America/New_York:20241108T120000
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SUMMARY:ADHM spaces and their quantizations
DESCRIPTION:Member Seminar \nSpeaker: Vasily Krylov\, CMSA \nTitle: ADHM spaces and their quantizations \nAbstract: In their paper “Construction of Instantons\,” Atiyah\, Drinfeld\, Hitchin\, and Manin introduced an algebraic construction of the moduli space of instantons on R^4\, now also known as the “ADHM space.” This is a Poisson complex variety; it has been actively studied by both mathematicians and physicists. In this talk\, I will review the ADHM construction\, present examples\, and discuss various geometric and algebraic properties of ADHM spaces. I will also describe natural quantizations of these Poisson varieties. I will explain a joint result with Etingof\, Losev\, and Simental\, providing explicit formulas for the dimensions and characters of all finite-dimensional representations of these quantizations. Time permitting\, I will illustrate some predictions of the 3D mirror symmetry in the example of ADHM spaces\, following our joint paper with Shlykov.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-11824/
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-11.8.24.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20241115T120000
DTEND;TZID=America/New_York:20241115T130000
DTSTAMP:20260512T005839
CREATED:20240919T144643Z
LAST-MODIFIED:20241115T144349Z
UID:10003524-1731672000-1731675600@cmsa.fas.harvard.edu
SUMMARY:Quantum Criticality in Black Hole Scattering
DESCRIPTION:Member Seminar \nSpeaker: Uri Kol \nTitle: Quantum Criticality in Black Hole Scattering \nAbstract: Perturbation theory around rotating black holes captures a few important effects in the physics of gravitational waves emitted from binary mergers. Despite a long and rich history\, developing a qualitative understanding of the system remains a challenging problem. In this talk I will describe an emergent critical phenomena arising in black hole perturbation theory\, which is reminiscent of the structure found in quantum many-body systems. A critical point is identified at zero temperature\, giving rise to a wide “quantum” critical region at finite temperatures that is dominated by critical fluctuations. In the critical region\, the physics is exclusively described by a set of critical exponents\, therefore leading to robust predictions. \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-111524/
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-11.15.24.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20241122T120000
DTEND;TZID=America/New_York:20241122T130000
DTSTAMP:20260512T005839
CREATED:20240919T144708Z
LAST-MODIFIED:20241118T172611Z
UID:10003525-1732276800-1732280400@cmsa.fas.harvard.edu
SUMMARY:Identity crises phenomena in the large cardinal hierarchy
DESCRIPTION:Member Seminar \nSpeaker: Alejandro Poveda \nTitle: Identity crises phenomena in the large cardinal hierarchy\n\nAbstract: It is well-known that certain mathematical questions cannot be answered on the grounds of the standard foundation of mathematics. Large cardinal axioms constitute a series of postulates about the higher infinite which permit to classify these undecidable problems in a coherent hierarchy way. Specifically\, large cardinals together with ZFC (the standard axiomatic of Mathematics) provide a complete classification of all mathematical theories according to the so-called consistency strength. One of the main tenets of modern set theory has been to investigate how the large-cardinal hierarchy is organized across the mathematical universe. To a large extent this hierarchy is nicely disposed and such a disposition is unambiguous (i.e.\, immune to the independence phenomenon).\n\nIn an unexpected turn of events\, in the late 70’s Magidor discovered the identity crisis phenomena of the large cardinal hierarchy. Magidor proved that certain strata of the hierarchy are susceptible to be modified via Cohen’s method of forcing. Specifically\, he showed that the first strongly compact cardinal can be either the first measurable cardinal or the first supercompact cardinal. It turns out that the first measurable is always much smaller than the first supercompact. These discrepancies on the identity of the first strongly compact cardinal were termed by Magidor the Identity Crisis Phenomenon.\n\nIn this talk I plan to provide an introduction to the world of large cardinals keeping an eye on the identity crises phenomena. Time permitting\, I’ll present a few recent results answering questions by Magidor and discuss their connection with Woodin’s Ultimate-L Conjecture.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-112224/
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-11.22.24_Page_1.png
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