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DTSTART;TZID=America/New_York:20260209T150000
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DTSTAMP:20260424T064452
CREATED:20251223T185635Z
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SUMMARY:On the p-curvature of quantum connections of CY threefolds
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Shaoyun Bai (MIT) \nTitle: On the p-curvature of quantum connections of CY threefolds \nAbstract: The small quantum connection of Calabi-Yau varieties has integral coefficients\, thus admits reduction mod a prime number p. A fundamental invariant associated with flat connections over characteristic p is the p-curvature\, which lies at the heart of study of algebraic differential equations. I will explain how to identify the p-curvature of quantum connection of any compact Calabi-Yau threefold with the quantum Steenrod operation\, thereby providing a modular description of the p-curvature in this setting. I will also discuss the role of BPS invariants and the mirror symmetry context. This is based on joint work with Jae Hee Lee.
URL:https://cmsa.fas.harvard.edu/event/qft_2926/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-2.9.26.docx-scaled.png
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DTSTART;TZID=America/New_York:20260209T163000
DTEND;TZID=America/New_York:20260209T173000
DTSTAMP:20260424T064452
CREATED:20251223T190623Z
LAST-MODIFIED:20260203T162207Z
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SUMMARY:Phase Transition to Chaos in Complex Ecosystems with Non-reciprocal Interactions
DESCRIPTION:Colloquium \nSpeaker: Pankaj Metha\, Boston University \nTitle: Phase Transition to Chaos in Complex Ecosystems with Non-reciprocal Interactions \nAbstract: Nonreciprocal interactions between microscopic constituents can profoundly shape the large-scale properties of complex systems. In this pedagogical chalk talk\, I will discuss recent work from our group on phase transitions and chaos in high-dimensional ecosystems with non-reciprocal interactions. Our approach builds on a generalization of MacArthur’s consumer-resource model that incorporates asymmetric interactions between species and resources. I will highlight rich connections between this problem and the mathematics of disordered systems (cavity method and DMFT)\, random matrix theory\, and constrained optimization.
URL:https://cmsa.fas.harvard.edu/event/colloquium-2926/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-2.9.2026.docx-scaled.png
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