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DTSTART;TZID=America/New_York:20251009T140000
DTEND;TZID=America/New_York:20251009T150000
DTSTAMP:20260506T205217
CREATED:20250911T184457Z
LAST-MODIFIED:20251002T182058Z
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SUMMARY:Profinite tensor powers
DESCRIPTION:Algebra Seminar \nSpeaker: David Treumann (Boston College) \nTitle: Profinite tensor powers \nAbstract: I’ll discuss the problem of defining a tensor product of profinitely many copies of a vector space V\, and propose a definition $\bigotimes_X^{mcc} V$ in the special situation that (1) V is finite-dimensional over F_2\, and (2) the profinite X indexing the tensor factors is acted on with finitely many orbits by a pro-2-group. The “mcc” on the tensor sign stands for “magnetized and conditionally convergent.” A variant construction makes sense when V is a bimodule over a semisimple F_2-algebra\, and the index set X has the profinite version of a cyclic order. The definition organizes some computations in Heegard Floer homology: it can be pitched as a computation of the HF of some pro-3-manifolds\, though we do not know how to define such a thing. This is joint work with CM Michael Wong. \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_10925/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebra Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Algebra-Seminar-10.9.25-scaled.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251016T140000
DTEND;TZID=America/New_York:20251016T150000
DTSTAMP:20260506T205217
CREATED:20250911T184527Z
LAST-MODIFIED:20251006T162709Z
UID:10003790-1760623200-1760626800@cmsa.fas.harvard.edu
SUMMARY:Lech's inequality and stability of local rings
DESCRIPTION:Algebra Seminar \nSpeaker: Linquan Ma (Purdue University) \nTitle: Lech’s inequality and stability of local rings \nAbstract: We explore Lech’s inequality relating the colength and multiplicity of m-primary ideals in a Noetherian local ring (R\,m). We introduce a natural invariant that measures the sharpness of Lech’s inequality and show its connections with singularities of asymptotically semistable varieties and singularities arising from the MMP. We compute this invariant in various examples. This is joint work with Ilya Smirnov. \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_101625/
LOCATION:Virtual
CATEGORIES:Algebra Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Algebra-Seminar-10.16.25.docx-1-1-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251023T140000
DTEND;TZID=America/New_York:20251023T150000
DTSTAMP:20260506T205217
CREATED:20250911T184605Z
LAST-MODIFIED:20251021T143543Z
UID:10003791-1761228000-1761231600@cmsa.fas.harvard.edu
SUMMARY:Character sheaves on the loop Lie algebra and its global implications
DESCRIPTION:Algebra Seminar \nSpeaker: Zhiwei Yun\, MIT \nTitle: Character sheaves on the loop Lie algebra and its global implications \nAbstract: Motivated by Lusztig’s definition of character sheaves on a reductive Lie algebra\, we propose a definition of character sheaves on the loop Lie algebra. The construction can be viewed as a p-adic analogue of the orbit method\, and the resulting sheaves are closely related to characters of supercuspidal representations of J.K.Yu. Further\, the construction suggests a definition of wildly ramified Hitchin moduli spaces suitable for the study of ramified geometric Langlands. This is joint work with Bao Chau Ngo. \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_102325/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebra Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Algebra-Seminar-10.23.25-scaled.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20251030T140000
DTEND;TZID=America/New_York:20251030T150000
DTSTAMP:20260506T205217
CREATED:20251014T143046Z
LAST-MODIFIED:20251030T144718Z
UID:10003812-1761832800-1761836400@cmsa.fas.harvard.edu
SUMMARY:Affine Springer fibers and representations
DESCRIPTION:Algebra Seminar \nSpeaker: Roman Bezrukavnikov\, MIT \nTitle: Affine Springer fibers and representations \nAbstract: Relating representation categories of interest\, such of modules over the quantum group\, to topology of loop spaces has been an important theme in representation theory for some decades. I will describe a result of this sort involving a geometric object that has not appeared in this context until now\, an affine Springer fiber\, and mention its applications. Based on a joint work with Pablo Boixeda Alvarez\, Michael McBreen and Zhiwei Yun. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/algebra-seminar_103025/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Algebra Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Algebra-Seminar-10.30.25.docx-2-scaled.png
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