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DTSTART;TZID=America/New_York:20251007T161500
DTEND;TZID=America/New_York:20251007T183000
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SUMMARY:A Classifying Space for Phases of Matrix Product States
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeakers: Daniel Spiegel\, Harvard Math \nTitle: A Classifying Space for Phases of Matrix Product States \nAbstract: Alexei Kitaev has conjectured that there should be a loop spectrum consisting of spaces of gapped invertible quantum spin systems\, indexed by spatial dimension d of the lattice. Motivated by Kitaev’s conjecture\, I will detail a concrete construction of a topological space B consisting of translation invariant injective matrix product states (MPS) of all physical and bond dimensions\, which plays the role Kitaev’s space in dimension d = 1. Having such a space is a useful tool in the discussion of parametrized phases of MPS; in fact it allows us to define a parametrized phase as a homotopy class of maps into B. The space B is constructed as the quotient of a contractible space E of MPS tensors modulo gauge transformations. The projection map from E to B is a quasifibration\, from which we can compute the homotopy groups of the classifying space B by a long exact sequence. In particular\, B has the weak homotopy type K(Z\, 2) x K(Z\, 3)\, shedding light on Kitaev’s conjecture in the context of MPS. \nDaniel Spiegel will speak for 60 minutes. \nSunghyuk Park  (CMSA) will also speak for 15 minutes
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_10725/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-10.7.25-scaled.png
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DTSTART;TZID=America/New_York:20251014T161500
DTEND;TZID=America/New_York:20251014T183000
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CREATED:20251001T183159Z
LAST-MODIFIED:20251014T154228Z
UID:10003803-1760458500-1760466600@cmsa.fas.harvard.edu
SUMMARY:Geometry and Quantum Theory Seminar
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Dylan Galt\, Harvard \n(60 minute talk) \nTitle: What is a “nonlinear” near-symplectic form? \nAbstract: In this talk\, I will explain how one might understand this question and why a possible answer can be found in the geometry of coassociative 4-folds\, a special class of minimal submanifolds discovered by Harvey and Lawson. \n  \nSpeaker: Keyou Zeng\, CMSA \n(30 minute talk) \nTitle: Cohomology of configuration space of points \nAbstract: Configuration space of points is an interesting and important subject in mathematics and physics. I’ll review some classical results computing cohomology of configuration space of points. I’ll also introduce some recent progress in computing sheaf cohomology of configuration space of affine space. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_101425/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-10.14.25-scaled.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251028T161500
DTEND;TZID=America/New_York:20251028T183000
DTSTAMP:20260510T085800
CREATED:20251021T201853Z
LAST-MODIFIED:20251027T135640Z
UID:10003818-1761668100-1761676200@cmsa.fas.harvard.edu
SUMMARY:Geometry and Quantum Theory Seminar
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeakers: (1) Elliott Gesteau\, CMSA (60 min) and  (2) Sanjay Raman\, Harvard (30 min) \n(1) Title: Holography for closed universes \nAbstract: Recent advances in holography and black hole physics have prompted a number of new puzzles related to the physics of closed universes\, which can be argued to have a one-dimensional Hilbert space of states from various perspectives. In this talk I will review this new set of puzzles\, with an emphasis of the mathematical questions that they seem to raise. \n  \n(2) Title: Non-supersymmetric branes\, bordism\, and fractional charges \nAbstract: We dive a little deeper into the non-supersymmetric brane configurations studied in Kaidi-Tachikawa-Yonekura (2024). We study the gravitational analogues of the branes in the aforementioned paper\, relating them to relative defects predicted by the Cobordism Conjecture\, and we argue for the existence of objects carrying fractional heterotic string and M2-brane charge.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_102825/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-10.28.25-scaled.png
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