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DTSTART;TZID=America/New_York:20260415T080000
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SUMMARY:CMSA Swampland and our Universe
DESCRIPTION:Swampland and our Universe\n\nApril 15\, 2026 @ 8:00 am – April 16\, 2026 @ 5:00 pm\n\n\n\nSwampland and our Universe \nDates: April 9–10\, 2026 \nLocation: Harvard CMSA\, Room G10\, 20 Garden Street\, Cambridge MA \nSpeakers \n\nIgnatios Antoniadis\, IAS\, Princeton\nAlek Bedroya\, Princeton\nMike Boylan-Kolchin\, UT Austin\nRaphael Flauger\, UC San Diego\nM.C. Gonzalez-Garcia\, ICREA U. Barcelona & YITP Stony Brook\nMustapha Ishak-Boushaki\, UT Dallas\nMarc Kamionkowski\, Johns Hopkins\nMiguel Montero\, Institute of Theoretical Physics\, Madrid\nGeorges Obied\, U Chicago\nMatt Reece\, Harvard\n\nSee the CMSA website for more details. \nOrganizer: Cumrun Vafa (Harvard Physics)
URL:https://www.math.harvard.edu/event/cmsa-swampland-and-our-universe/
LOCATION:CMSA\, 20 Garden St\, G10\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA EVENTS
ATTACH;FMTTYPE=image/jpeg:https://www.math.harvard.edu/wp-content/uploads/swampland2026.jpg
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DTSTART;TZID=America/New_York:20260416T150000
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CREATED:20260409T132201Z
LAST-MODIFIED:20260409T132201Z
UID:10003131-1776351600-1776355200@www.math.harvard.edu
SUMMARY:Total Positivity in Twisted Flag Varieties
DESCRIPTION:Lusztig’s theory of total positivity has led to remarkable connections between geometry\, combinatorics\, and representation theory. In this talk\, I will discuss how this theory extends to twisted flag varieties for arbitrary Kac–Moody groups. This is based on a joint work with Kaitao Xie. \nOur main result shows that the totally nonnegative part of a twisted flag variety admits a cell decomposition\, and the closure of each cell is a regular CW complex. This generalizes earlier work on ordinary flag varieties and allows us to deduce similar structural results for the totally nonnegative double flag variety and for the link of in totally nonnegative double Bruhat cells\, the latter answering a conjecture of Fomin and Zelevinsky. I will also briefly mention some connection to canonical bases of tensor product. \nFor information about the Richard P. Stanley Seminar in Combinatorics\, visit… https://math.mit.edu/combin/
URL:https://www.math.harvard.edu/event/total-positivity-in-twisted-flag-varieties/
LOCATION:Science Center 232
CATEGORIES:HARVARD-MIT COMBINATORICS
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DTSTART;TZID=America/New_York:20260416T160000
DTEND;TZID=America/New_York:20260416T170000
DTSTAMP:20260416T235811
CREATED:20260318T183306Z
LAST-MODIFIED:20260318T183306Z
UID:10003092-1776355200-1776358800@www.math.harvard.edu
SUMMARY:Interpolation for points in $\mathbb{P}^N\, N\geq 2$
DESCRIPTION:Interpolation problems study hypersurfaces in projective space passing through prescribed sets of points. Classically\, one asks how many independent conditions a collection of points imposes on hypersurfaces of a fixed degree\, a question that can be studied algebraically via homogeneous ideals and their Hilbert functions. In this talk\, I will begin with the classical interpolation problem for reduced points and introduce the algebraic framework used to study it. I will then move to fat point schemes\, where points are assigned multiplicities and hypersurfaces are required to vanish to higher order. In this setting\, interpolation problems naturally lead to symbolic powers of ideals and containment relations between symbolic and ordinary powers. I will conclude by discussing open questions\, including potential connections between interpolation problems and combinatorial structures such as matroids.
URL:https://www.math.harvard.edu/event/interpolation-for-points-in-mathbbpn-ngeq-2/
LOCATION:CMSA\, 20 Garden St\, G10\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:CMSA Algebra Seminar
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