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DTSTART;TZID=America/New_York:20240126T093000
DTEND;TZID=America/New_York:20240126T110000
DTSTAMP:20260416T234823
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UID:10000860-1706261400-1706266800@cmsa.fas.harvard.edu
SUMMARY:Gauging spacetime inversions
DESCRIPTION:Quantum Matter in Mathematics and Physics Seminar \nSpeaker: Daniel Harlow (MIT) \nTitle: Gauging spacetime inversions \nAbstract: Spacetime inversion symmetries such as parity and time reversal play a central role in physics\, but they are usually treated as global symmetries. In quantum gravity there are no global symmetries\, so any spacetime inversion symmetries must be gauge symmetries. In particular this includes CRT symmetry (in even dimensions usually combined with a rotation to become CPT)\, which in quantum field theory is always a symmetry and seems likely to be a symmetry of quantum gravity as well. I’ll discuss what it means to gauge a spacetime inversion symmetry\, and explain some of the more unusual consequences of doing this. In particular I’ll argue that the gauging of CRT is automatically implemented by the sum over topologies in the Euclidean gravity path integral\, that in a closed universe the Hilbert space of quantum gravity must be a real vector space\, and that in Lorentzian signature manifolds which are not time-orientable must be included as valid configurations of the theory.
URL:https://cmsa.fas.harvard.edu/event/qm-2/
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-01.26.23.png
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DTSTART;TZID=America/New_York:20240126T120000
DTEND;TZID=America/New_York:20240126T130000
DTSTAMP:20260416T234823
CREATED:20240102T203315Z
LAST-MODIFIED:20240125T174129Z
UID:10000803-1706270400-1706274000@cmsa.fas.harvard.edu
SUMMARY:Anti-Iitaka conjecture in positive characteristic
DESCRIPTION:CMSA Member Seminar \nSpeaker: Iacopo Brivio (Harvard) \nTitle: Anti-Iitaka conjecture in positive characteristic \nAbstract: Given a smooth projective variety\, its Kodaira dimension kappa(K_X) is an important invariant that measures the rate of growth of m-pluricanonical forms as a function of m. It serves as an higher-dimensional generalization of the genus of a Riemann surface. If f : X –> Y is a fibration with general fiber F\, a famous conjecture of Iitaka predicts the inequality kappa(K_X) \geq kappa(K_Y) + kappa(K_F). More recently it was shown by Chang that\, if the stable base locus of -K_X is vertical\, then the inequality kappa(-K_X) \leq kappa(-K_Y) + kappa(-K_F) holds. Both Iitaka’s conjecture and Chang’s theorem are known to fail in positive characteristic. In this talk I will explain how one can recover Chang’s theorem for a class of “tame” fibrations in characteristic p > 0. This is based on joint work with M. Benozzo and C.-K. Chang.
URL:https://cmsa.fas.harvard.edu/event/member-seminar-12624/
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-01.26.24.docx-1.png
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DTSTART;TZID=America/New_York:20240126T160000
DTEND;TZID=America/New_York:20240126T180000
DTSTAMP:20260416T234823
CREATED:20240103T210013Z
LAST-MODIFIED:20240222T054337Z
UID:10001109-1706284800-1706292000@cmsa.fas.harvard.edu
SUMMARY:CMSA/MATH Bi-Annual Gathering
DESCRIPTION:On Friday\, Jan. 26\, 2024 the CMSA will host the CMSA/MATH Bi-Annual Gathering for Harvard CMSA and Math affiliates in the CMSA Common Room at 20 Garden Street\, Cambridge MA 02138.
URL:https://cmsa.fas.harvard.edu/event/cmsa-math_2924/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event
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