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DTSTART;TZID=America/New_York:20260430T160000
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SUMMARY:Transcendental Epsilon Multiplicity via Divisor Volumes
DESCRIPTION:Algebra Seminar \nSpeaker: Sudipta Das\, Tata Institute of Fundamental Research \nTitle: Transcendental Epsilon Multiplicity via Divisor Volumes \nAbstract:  In this talk\, our goal is to establish a structural bridge between asymptotic commutative algebra and transcendence theory to show that there exists an ideal in a Noetherian local ring whose epsilon multiplicity is transcendental. By equating the local-cohomological definition of epsilon multiplicity to a global divisorial volume integral on a projective bundle\, we apply Baker’s theorem on linear forms in logarithms to prove that the resulting arithmetic invariant falls strictly outside the field of algebraic numbers. This talk is based on collaborative work with Vinh Pham and Stephen Landsittel. \n\nnote room change to G02\n\n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_43026/
LOCATION:CMSA Room G02\, 20 Garden Street\, Cambridge\, MA\, 02138
CATEGORIES:Algebra Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Algebra-Seminar-4.30.26.G02.docx.png
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