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DTSTART;TZID=America/New_York:20240205T090000
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DTSTAMP:20260410T032921
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UID:10001104-1707123600-1711731600@cmsa.fas.harvard.edu
SUMMARY:Arithmetic Quantum Field Theory Program
DESCRIPTION:Arithmetic Quantum Field Theory Program\nDates: Feb. 5–Mar. 29\, 2024 \nLocation: Harvard CMSA\, 20 Garden Street\, Cambridge MA 02138 \nArithmetic Quantum Field Theory Program Youtube Playlist \nOrganizers: \n\nDavid Ben-Zvi (University of Texas Austin)\nSolomon Friedberg (Boston College)\nNatalie Paquette (University of Washington Seattle)\nBrian Williams (Boston University)\n\nThis program features a weekly seminar series\, workshops\, and a conference. \nThe object of the program is to develop and disseminate exciting new connections emerging between quantum field theory and algebraic number theory\, and in particular between the fundamental invariants of each: partition functions and L-functions. \nOn one hand\, there has been tremendous progress in the past decade in our understanding of the algebraic structures underlying quantum field theory as expressed in terms of the geometry and topology of low-dimensional manifolds\, both on the level of states (via the Atiyah-Segal / Baez-Dolan / Lurie formalism of extended\, functorial field theory) and on the level of observables (via the Beilinson–Drinfeld / Costello–Gwilliam formalism of factorization algebras). On the other hand\, Weil’s Rosetta Stone and the Mazur–Morishita–Kapranov–Reznikov arithmetic topology (the “knots and primes” dictionary) provide a sturdy bridge between the topology of 2- and 3-manifolds and the arithmetic of number fields. Thus\, one can now port over quantum field theoretic ideas to number theory\, as first proposed by Minhyong Kim with his arithmetic counterpart of Chern-Simons theory. Most recently\, the work of Ben-Zvi–Sakellaridis–Venkatesh applies an understanding of the Langlands program as an arithmetic avatar of electric-magnetic duality in four-dimensional gauge theory to reveal a hidden quantum mechanical nature of the theory of $L$-functions. \nThe program will bring together a wide range of mathematicians and physicists working on adjacent areas to explore the emerging notion of arithmetic quantum field theory as a tool to bring quantum physics to bear on questions of interest for the theory of automorphic forms\, harmonic analysis and L-functions. Conversely\, we will explore potential geometric and physical consequences of arithmetic ideas\, for example\, the Langlands correspondence theory of L-functions for 3-manifolds. \n\nSchedule \nThe first week of the program will feature several lecture series aimed at a broad local community of mathematicians and physicists\, aiming to introduce the main ideas underlying our program and help establish a common reference point. \nThe program will host a weekly seminar series on Fridays. \nThe speakers will be selected with the aim of covering a wide panorama of the subjects over the course of the program. \nThe program will conclude with a week-long Conference on Arithmetic Quantum Field Theory March 25–29\, 2024. \n\nAQFT Youtube Playlist \nLecture series \nAll lectures take place in Room G10\, Harvard CMSA\, 20 Garden Street Cambridge. \nWeek 1: Feb. 5–9\, 2024 \nAbstract: In this lecture series we will introduce some of the themes underlying the CMSA program on Arithmetic Quantum Field Theory taking place this winter and the upcoming conference March 25-29\, 2024. \nSome of the themes we plan to discuss include: \nStructures in QFT (like factorization for observables and functorial QFT for states and their relation to geometric / deformation quantization) that are sufficiently algebraic and formal to allow for arithmetic analogs. \nThe setup of arithmetic topology as a bridge between the background of QFT to that of arithmetic (both “global” and “local”)\, including the “middle realm” of positive characteristic function fields. \nQuestions and structures in arithmetic that have been / might be amenable to inspiration from QFT\, in particular the theory of L-functions and the Langlands program. \nSchedule \n\n\n\nMonday\, Feb. 5\, 2024\n \n \n\n\n11:00 am – 12:00 pm\n Minhyong Kim\nArithmetic topology and field theory\nVideo\n(Slides part 1 pdf)\n\n\n1:30 – 2:30 pm\nBrian Williams\nAlgebraic quantum field theory\nVideo\n(Lecture Notes)\n\n\n2:30 – 3:30 pm\nDavid Ben-Zvi\nThe Langlands program via arithmetic QFT\nVideo\n\n\nWednesday\, Feb. 7\, 2024\n \n \n\n\n11:00 am – 12:00 pm\nMinhyong Kim\nArithmetic topology and field theory\nVideo\n(Slides part 2 pdf)\n\n\n2:30 – 3:30 pm\nBrian Williams\nAlgebraic quantum field theory\nVideo\n(Lecture Notes)\n\n\nThursday\, Feb.8\, 2024\n \n \n\n\n2:30 – 3:30 pm\nMinhyong Kim\nArithmetic topology and field theory\nVideo\n(Slides part 3 pdf)\n\n\n4:00 – 5:00 pm\nDavid Ben-Zvi\nThe Langlands program via arithmetic QFT\nVideo\n\n\nFriday\, Feb. 9\, 2024\n \n \n\n\n1:00 – 2:00 pm\nBrian Williams\nAlgebraic quantum field theory\nVideo\n(Lecture Notes)\n\n\n2:00 – 3:00 pm\nDavid Ben-Zvi\nThe Langlands program via arithmetic QFT 1\nVideo\n\n\n3:30 – 4:30 pm\nDavid Ben-Zvi\nThe Langlands program via arithmetic QFT 2\nVideo\n\n\nMonday\, Feb. 26\, 2024\n\n\n\n\n1:00 – 2:00 pm\nOmer Offen (Brandeis)\nPeriod integrals of automorphic forms and the residue method\nVideo\n\n\nTuesday\, Feb. 27\, 2024\n\n\n\n\n2:00 – 3:00 pm\nWei Zhang (MIT)\nShtuka special cycles and their generating series\nVideo\n\n\nFriday\, March 1\, 2024\n\n\n\n\n11:00 am – 12:00 pm\nChen Wan (Rutgers Newark)\nSome examples of the relative Langlands duality\nVideo\n\n\n2:00 – 3:00 pm\nPeng Shan (Tsinghua)\nSkein algebras and quantized Coulomb branches\nVideo\n\n\nThursday\, March 7\, 2024\n\n\n\n\n1:30 – 2:30 pm\nAn Huang (Brandeis)\nTate’s thesis and p-adic strings\nVideo\n\n\n3:00 – 4:00 pm\nJohn Francis (Northwestern)\nIntegrating braided categories over 3-manifolds\nVideo\n\n\nFriday\, March 8\, 2024\n\n\n\n\n1:00 – 2:00 pm\nDihua Jiang (U Minnesota)\nShalika Periods: Functoriality and Arithmetic\nVideo\n\n\nFriday\, March 15\, 2024\n\n\n\n\n11:45 – 1:00 pm\nBaiying Liu (Purdue)\nRecent progress on certain problems related to local Arthur packets of classical groups\nVideo\n\n\n2:15 – 3:30 pm\nTasho Kaletha (Michigan)\nCovers of reductive groups and functoriality\nVideo\n\n\nMonday\, March 18\, 2024\n\n\n\n\n1:00 – 3:00 pm\nXinwen Zhu (Stanford)\nThe tame categorical local Langlands correspondence\nVideo\n\n\n4:30 – 5:30 pm\nNatalie Paquette (U Washington)\nKoszul duality & twisted holography for asymptotically flat spacetimes\n\n\nWednesday\, March 20\, 2024\n\n\n\n\n11:00 – 12:15 pm\nStephen D. Miller (Rutgers)\nWhat 4-graviton scattering amplitudes had to say about the unitary dual\n\n\nFriday\, March 22\, 2024\n\n\n\n\n1:45 – 3:00 pm\nJayce Getz (Duke)\nThe Poisson summation conjecture and the fiber bundle method\nVideo\n\n\n\n\n\n\n\n\n\nProgram Visitors \n\nMina Aganagic\, University of California\, Berkeley\nAnne-Marie Aubert\, Institut de Mathématiques de Jussieu-Paris Rive Gauche\, March 15-29\nClark Barwick\, University of Edinburgh\, February 19-March 15\nAlexander Braverman\, Perimeter Institute\nAlejandra Castro\, Cambridge University\, March 25-29\nYoungJu Choie\, Pohang University of Science and Technology\, February 12-16; March 22-28\nJohn Francis\, Northwestern University\, March 1-14\nDavid Gaiotto\, Perimeter Institute\, March 25-29\nJayce Getz\, Duke University\, March 18-22\nEzra Getzler\, Northwestern University\, March 11-22\nSam Gunningham\, Montana State University\, February 9-12\nSarah Harrison\, Northeastern University\nDihua Jiang\, University of Minnesota\, February 29-March 9\nTasho Kaletha\, University of Michigan\, March 12-20\nMinhyong Kim\, University of Edinburgh\, February 1-29\nAxel Kleinschmidt\, Max Planck Institute for Gravitational Physics\, Potsdam\, March 18-28\nKim Klinger-Logan\, Kansas State University\, March 25-29\nKobi Kremnitzer\, Oxford University\, March 25-29\n\nBaiying Liu\, Purdue University\, March 13-16\n\n\nSteven Miller\, Rutgers University\n\nGreg Moore\, Rutgers University\, February 5-9\nDavid Nadler\, University of California\, Berkeley\, March 17-30\nBảo Châu Ngô\, University of Chicago\, March 25-29\nGeorge Pappas\, Michigan State University\, March 25-29\nDaniel Persson\, Chalmers Institute of Technology\, March 25-29\nSam Raskin\, Yale University\, March 26-29\nYiannis Sakellaridis\, Johns Hopkins University\, March 18-22\nPeng Shan\, Tsinghua University\, February 12-April 14\nAkshay Venkatesh\, Institute for Advanced Study\nRoberto Volpato\, University of Padova\, February 4-10\nChen Wan\, Rutgers University\, February 29-March 9\nFei Yan\, Brookhaven National Laboratory\, March 18-29\nXinwen Zhu\, Stanford University\n\n  \n 
URL:https://cmsa.fas.harvard.edu/event/aqft2024/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,Programs
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Poster_AQFT-Program_letter-1.png
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DTSTART;TZID=America/New_York:20240216T103000
DTEND;TZID=America/New_York:20240216T120000
DTSTAMP:20260410T032921
CREATED:20240212T160753Z
LAST-MODIFIED:20240212T212952Z
UID:10001507-1708079400-1708084800@cmsa.fas.harvard.edu
SUMMARY:Programmable Simulations of Molecules and Materials with present-day Reconfigurable Quantum Processors
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Susanne Yelin (Harvard) \nTitle: Programmable Simulations of Molecules and Materials with present-day Reconfigurable Quantum Processors \nAbstract: Simulations of quantum chemistry and quantum materials are believed to be among the most important potential applications of quantum information processors\, but realizing practical quantum advantage for such problems is challenging. We introduce a simulation framework for strongly correlated quantum systems that can be represented by model spin Hamiltonians. Our approach leverages reconfigurable qubit architectures to programmably simulate real-time dynamics and introduces an algorithm for extracting chemically relevant spectral properties via classical co-processing of quantum measurement results. We develop a digital-analog simulation toolbox for efficient Hamiltonian time evolution utilizing digital Floquet engineering and hardware-optimized multi-qubit operations to accurately realize complex spin-spin interactions\, and as an example present an implementation proposal based on Rydberg atom arrays. Then\, we show how detailed spectral and other relevant chemical information can be extracted from these dynamics through snapshot measurements and single-ancilla control\, enabling the evaluation of excitation energies and finite-temperature susceptibilities from a single-dataset. To illustrate the approach\, we show how this method can be used to compute key properties of a polynuclear transition-metal catalyst and 2D magnetic materials.
URL:https://cmsa.fas.harvard.edu/event/qm-21624/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-02.16.2024.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240216T120000
DTEND;TZID=America/New_York:20240216T130000
DTSTAMP:20260410T032921
CREATED:20240213T164834Z
LAST-MODIFIED:20240215T182409Z
UID:10000671-1708084800-1708088400@cmsa.fas.harvard.edu
SUMMARY:Symmetries and algebraicity in the flux landscape
DESCRIPTION:CMSA Member Seminar \nSpeaker: Damian van de Heisteeg (Harvard CMSA) \nTitle: Symmetries and algebraicity in the flux landscape \nAbstract: In this talk I consider potentials coming from fluxes in string theory. The minima of these potentials trace out special loci in the moduli space of Calabi-Yau manifolds. I discuss the structure that underlies these minima from a Hodge-theoretic point of view. \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-21624/
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-02.15.2024.png
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