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DTSTART;TZID=America/New_York:20251106T160000
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DTSTAMP:20260504T030743
CREATED:20250904T163021Z
LAST-MODIFIED:20251104T160806Z
UID:10003784-1762444800-1762448400@cmsa.fas.harvard.edu
SUMMARY:Dimension Reduction and Adiabatic Limits of Generalized ASD Instantons
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: Dylan Galt\, Harvard \nTitle: Dimension Reduction and Adiabatic Limits of Generalized ASD Instantons \nAbstract: I will begin by explaining a dimension reduction result for Tian’s generalized ASD instantons over product manifolds\, which generalizes work of Yuanqi Wang on codimension-one reduction and includes the cases of G2 and Spin(7) instantons as well as degree zero Hermitian-Yang-Mills connections. The proof is inspired by a simple observation about the Yang-Mills energy and suggests a natural adiabatic picture for these generalized ASD connections. I will describe ongoing work towards establishing such an adiabatic scheme\, emphasizing some of the complications that arise in the general case and explaining what can be said for G2 instantons. Everything I will talk about is joint work with my collaborator Langte Ma. \n 
URL:https://cmsa.fas.harvard.edu/event/dgphys_11625/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-11.6.2025.docx-scaled.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251120T160000
DTEND;TZID=America/New_York:20251120T170000
DTSTAMP:20260504T030743
CREATED:20250904T163048Z
LAST-MODIFIED:20251117T220513Z
UID:10003785-1763654400-1763658000@cmsa.fas.harvard.edu
SUMMARY:Tropical-Topological(Tropological) Sigma Models
DESCRIPTION:Differential Geometry and Physics Seminar  \nSpeaker: Andrés Franco Valiente\, UC Berkeley \nTitle: Tropical-Topological (Tropological) Sigma Models \nAbstract: Tropical geometry provides a powerful bridge between complex and combinatorial worlds\, allowing certain curve-counting invariants to be computed in a piecewise-linear “tropical” limit. Building on Mikhalkin’s insight that Gromov–Witten invariants can be recovered from tropical curves\, this talk revisits Mikhalkin’s result from the viewpoint of topological field theory and functional integration.  I will first review the topological sigma model and explain how the localization equations admit a natural notion of tropicalization which allows us to reproduce the Gromov-Witten invariants using standard cohomological BRST methods without having to reformulate the functional integral in terms of the tropical semifield. We find that the relevant geometries associated to the tropical limit of the topological sigma models no longer require a complex structure but they are instead based on nilpotent structures on singular foliated manifolds. We close with a discussion on recent progress on how the tropological sigma model has a close connection to Hořava’s topologicial quantum gravity for Ricci Flow in a joint work with Emil Albrychiewicz and Viola Zixin Zhao. \n  \n  \n 
URL:https://cmsa.fas.harvard.edu/event/dgphys_112025/
LOCATION:Virtual
CATEGORIES:Differential Geometry and Physics Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/DG-Physics-Seminar-11.20.2025.docx-scaled.png
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