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DTSTART;TZID=America/New_York:20251015T170000
DTEND;TZID=America/New_York:20251015T180000
DTSTAMP:20260501T151207
CREATED:20250311T134919Z
LAST-MODIFIED:20251021T134849Z
UID:10003657-1760547600-1760551200@cmsa.fas.harvard.edu
SUMMARY:Millennium Prize Problems Lecture - Sourav Chatterjee: Yang-Mills and the foundations of quantum field theory
DESCRIPTION:Millennium Prize Problems Lecture  \nDate: October 15\, 2025 \nTime: 5:00–6:00 pm \nLocation: Harvard Science Center Hall D\, 1 Oxford St.\, Cambridge MA \nSpeaker: Sourav Chatterjee\, Stanford University \nTitle: Yang-Mills and the foundations of quantum field theory \nAbstract: Yang-Mills theories are the building blocks of the Standard Model of quantum mechanics\, which is the best available model for our universe at the quantum scale. Yet\, these theories do not have a rigorous mathematical foundation. Physical calculations are based on perturbation theory\, but there are various phenomena that are believed to be out of the reach of perturbative arguments. Building a mathematical foundation is\, therefore\, important even from the physics point of view. A program with this objective\, known as “constructive field theory”\, was initiated in the 1960s. In spite of many successes\, the program has not reached its original goal. Completing this program is the Clay Millennium Prize problem of Yang-Mills existence and mass gap. I will give a general introduction to the main questions\, and an overview of exciting recent progress that has rejuvenated the quest for a solution in the last ten years. \nRead more about the Yang-Mills Existence and Mass Gap at the Clay Math website. \nOrganizers: Martin Bridson\, Clay Mathematics Institute | Dan Freed\, Harvard University and CMSA | Mike Hopkins\, Harvard University \n\n                   \n\nMillennium Prize Problems Lecture Series
URL:https://cmsa.fas.harvard.edu/event/clay_101425/
LOCATION:Harvard Science Center Hall D\, 1 Oxford Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Millennium Prize Problems Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Chatterjee_web_ad.2-scaled.jpg
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DTSTART;TZID=America/New_York:20251020T163000
DTEND;TZID=America/New_York:20251020T173000
DTSTAMP:20260501T151207
CREATED:20250912T180641Z
LAST-MODIFIED:20251030T151928Z
UID:10003752-1760977800-1760981400@cmsa.fas.harvard.edu
SUMMARY:Math Science Lectures in Honor of Raoul Bott | Dennis Gaitsgory\, MPIM | Function-theoretic implications of geometric Langlands
DESCRIPTION:Two talks on Function-theoretic implications of geometric Langlands\nDates: October 20 & 21\, 2025 \nTime: 4:30–5:30 pm \nLocation: Science Center Lecture Hall A and via Webinar \n  \nSpeaker: Dennis Gaitsgory\, Max Planck Institute for Mathematics \nAbstract: The recently established geometric Langlands equivalence implies an explicit description of the space of (unramified) automorphic functions in terms of Langlands parameters. In these lectures\, we will derive these description and explain how far we can go with it in order to deduce some expected properties of automorphic functions\, e.g.\, Ramanujan and Arthur multiplicity conjectures. This is joint work with Vincent Lafforgue and Sam Raskin. \n  \nLecture 1: Monday\, October 20\, 2025\nFrom geometric to classical Langlands \n \n  \nLecture 2: Tuesday\, October 21\, 2025\nAnalytic properties of automorphic functions as seen from algebraic geometry \n \n  \n\nHarvard Mathematics Professor Raoul Bott (1923 – 2005)\, was a Hungarian-American mathematician known for numerous foundational contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem\, the Morse–Bott functions which he used in this context\, and the Borel–Bott–Weil theorem.
URL:https://cmsa.fas.harvard.edu/event/mathscibott_2025/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Event,Math Science Lectures in Honor of Raoul Bott,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Bott-Lecture_2025.v2-scaled.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251021T163000
DTEND;TZID=America/New_York:20251021T173000
DTSTAMP:20260501T151207
CREATED:20250912T180816Z
LAST-MODIFIED:20251030T152043Z
UID:10003753-1761064200-1761067800@cmsa.fas.harvard.edu
SUMMARY:Math Science Lectures in Honor of Raoul Bott | Dennis Gaitsgory\, MPIM | Function-theoretic implications of geometric Langlands
DESCRIPTION:Two talks on Function-theoretic implications of geometric Langlands\nDates: October 20 & 21\, 2025 \nTime: 4:30–5:30 pm \nLocation: Science Center Lecture Hall A and via Webinar \nSpeaker: Dennis Gaitsgory\, Max Planck Institute for Mathematics \nAbstract: The recently established geometric Langlands equivalence implies an explicit description of the space of (unramified) automorphic functions in terms of Langlands parameters. In these lectures\, we will derive these description and explain how far we can go with it in order to deduce some expected properties of automorphic functions\, e.g.\, Ramanujan and Arthur multiplicity conjectures. This is joint work with Vincent Lafforgue and Sam Raskin. \n  \nLecture 1: Monday\, October 20\, 2025\nFunction-theoretic implications of geometric Langlands: From geometric to classical Langlands \n \n  \nLecture 2: Tuesday\, October 21\, 2025\nFunction-theoretic implications of geometric Langlands: Analytic properties of automorphic functions as seen from algebraic geometry \n \n\nHarvard Mathematics Professor Raoul Bott (1923 – 2005)\, was a Hungarian-American mathematician known for numerous foundational contributions to geometry in its broad sense. He is best known for his Bott periodicity theorem\, the Morse–Bott functions which he used in this context\, and the Borel–Bott–Weil theorem.
URL:https://cmsa.fas.harvard.edu/event/mathscibott_2025-2/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Event,Math Science Lectures in Honor of Raoul Bott,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Bott-Lecture_2025-scaled.jpg
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