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DTSTART;TZID=America/New_York:20270215T080000
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SUMMARY:Stable Homotopy Theory and Arithmetic Geometry
DESCRIPTION:Stable Homotopy Theory and Arithmetic Geometry \nDates: Feb 15–May 15\, 2027 \nLocation: Harvard CMSA\, 20 Garden St\, Cambridge MA \nThis program will focus on interactions between stable homotopy theory and arithmetic geometry. In recent years\, ideas from homotopy theory have begun to play an important role in areas such as p-adic cohomology\, prismatic methods\, and aspects of the Langlands program\, while techniques from arithmetic geometry have led to new insights and computations in chromatic homotopy theory. Despite this growing overlap\, researchers in the two areas often use different languages and tools. A central goal of the program is to make these ideas more accessible across fields and to encourage collaborations around shared problems. \nThe program will run from February 15 to May 15 and will be built around research and informal collaboration. It will begin with a short introductory bootcamp\, followed by two focused workshops (one near the start and one toward the end)\, a weekly seminar with broadly accessible talks\, and a weekly open-problem session. Most of the time will be left open for discussion and joint work among participants\, aiming to spark new projects and longer-term connections between the two communities. \nThe program will include: \n(1) a bootcamp during the week Feb. 22–26\, consisting of introductory lectures on both subjects;\n(2) two research workshops—one during Mar. 1–5 and one during May 3–7—highlighting current developments\, especially those at the interface of the two areas;\n(3) a weekly seminar featuring talks of broad relevance to participants; and\n(4) a weekly open-problem seminar aimed at proposing and developing collaborative research directions\, both for the duration of the program and beyond. \nRegister Online \n  \nOrganizers: Tomer Schlank (Harvard)\, Jared Weinstein (Boston University)\, Mark Kisin (Harvard)\, Jeremy Hahn (MIT)\, Lucas Mann (Münster)
URL:https://cmsa.fas.harvard.edu/event/htag/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Programs
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DTSTART;VALUE=DATE:20270405
DTEND;VALUE=DATE:20270410
DTSTAMP:20260724T164228Z
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SUMMARY:The Conformal Bootstrap and Mathematics
DESCRIPTION:The Conformal Bootstrap and Mathematics \nThe conformal bootstrap is a method originating in physics that seeks to define and study conformal quantum field theories in two and higher dimensions. In recent years\, surprising connections have emerged between the conformal bootstrap and several areas of mathematics\, including the spectral theory of automorphic forms\, the sphere packing problem\, and related questions in geometry\, analysis\, and number theory. These developments suggest both that the conformal bootstrap “knows” a remarkable amount of mathematics\, and that these mathematical structures can offer new ways of understanding quantum field theory. \nThis workshop will bring together experts from conformal field theory\, number theory\, spectral geometry\, discrete geometry\, and related fields to explore these emerging connections. One goal is to investigate how ideas and techniques from the conformal bootstrap can lead to new advances in mathematics. A complementary goal is to use insights from these mathematical disciplines to sharpen our understanding of conformal field theory and quantum field theory more broadly. \nOrganizers: James Bonifacio\, University of Mississippi; Henry Cohn\, MIT; Dalimil Mazáč\, Institute of Theoretical Physics\, Saclay; and Peter Sarnak\, IAS
URL:https://cmsa.fas.harvard.edu/event/bootstrap27/
LOCATION:CMSA 20 Garden Street Cambridge\, Massachusetts 02138 United States
CATEGORIES:Event,Workshop
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