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DTSTART;TZID=America/New_York:20260414T130000
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UID:10003138-1776171600-1776175200@www.math.harvard.edu
SUMMARY:Cubic Curves and Cubic Surfaces and Cubic Threefolds and Cubic Fourfolds
DESCRIPTION:Rationality questions are among the oldest\, most natural\, and most stubborn problems in algebraic geometry. The simplest varieties whose rationality is interesting are the cubic hypersurfaces\, and already the matter is deep and full of surprises. I will explain the well-known classical answers for cubic curves and surfaces\, sketch the proof of the landmark Clemens—Griffiths result for cubic threefolds\, and attempt to say something reasonably coherent about the recent breakthrough by Katzarkov—Kontsevich—Pantev—Yu in dimension four.
URL:https://www.math.harvard.edu/event/cubic-curves-and-cubic-surfaces-and-cubic-threefolds-and-cubic-fourfolds/
LOCATION:Science Center 232
CATEGORIES:TRIVIAL NOTIONS
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DTSTART;TZID=America/New_York:20260414T161500
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CREATED:20260408T191449Z
LAST-MODIFIED:20260408T191449Z
UID:10003128-1776183300-1776191400@www.math.harvard.edu
SUMMARY:Abelian gauge fields and duality
DESCRIPTION:Motivated by the new paper arXiv:2603.19161\, I will give a general talk about abelian gauge fields\, including duality. I will start with classical Maxwell theory\, then discuss various “finite” examples\, the typical p-form abelian gauge field\, and some exotic examples such as Ramond–Ramond fields and the B-field in superstring theory. I will then get to the new paper and\, time permitting\, will suggest a very general framework that covers all examples. \n\n 
URL:https://www.math.harvard.edu/event/abelian-gauge-fields-and-duality/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:GEOMETRY AND QUANTUM THEORY
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