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DTSTART;TZID=Europe/Sofia:20250411T160000
DTEND;TZID=Europe/Sofia:20250411T173000
DTSTAMP:20250410T165640Z
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LAST-MODIFIED:20250410T165640Z
UID:17620-1744387200-1744392600@math.bas.bg
SUMMARY:ICMS Seminar
DESCRIPTION:Time: April 11\, 2025\, 4:00 pm \nPlace: Room 403\, IMI – BAS \nSpeaker: Felipe Espreafico Guelerman\, Sorbonne Université – Paris \nTitle: On Motivic and Arithmetic Donaldson-Thomas invariants \nFurther information: https://icms.bg/category/icms-seminar/ \nAbstract. Aiming to understand the relation to other “refined invariants”\, and especially their possible interpretation in quantum theory\, we explain how to obtain a quadratic\, A1-version of Donaldson-Thomas invariants from the motivic refinements first introduced in Kontsevich-Soibelman. Following ideas from Behrend\, Bryan and Szendroi\, we provide predictions for these invariants in a few simple examples\, mainly the computation of DT invariants of A3. Our main goal is to draw relationships with the literature\, including works of Levine\, Denef and Loser\, Azouri\, Pepin-Lehaulleur\, Srinivas among others. We begin with a brief introduction to A1-enumerative geometry and in the end\, we pose some further questions on possible extensions of our definitions. This is joint work with Johannes Walcher. We also comment on joint work in progress with Ran Azouri.
URL:https://math.bas.bg/event/icms-seminar-30/?lang=en
LOCATION:Institute of Mathematics and Informatics\, BAS\, Akad.G.Bonchev St\, bl. 8\, 1113\, Sofia\, Bulgaria
CATEGORIES:Regular Seminar
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DTSTART;TZID=Europe/Sofia:20250429T140000
DTEND;TZID=Europe/Sofia:20250429T153000
DTSTAMP:20250427T075403Z
CREATED:20250424T212823Z
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UID:17672-1745935200-1745940600@math.bas.bg
SUMMARY:Joint meeting of the ICMS Seminar and the "Algebra and Logic" Seminar
DESCRIPTION:A joint meeting of the ICMS Seminar and the “Algebra and Logic” Seminar will be held next Tuesday\, with a talk by Georges Tomanov. The details are as follows.\n\nTuesday\, April 29-th\, 2:00 pm\, in room 403 of IMI-BAS.\nGeorges Tomanov\, Université Claude Bernard\, Lyon 1.\nGroup action on homogeneous spaces and applications in number theory\nAbstract:Many longstanding conjectures and problems in number theory can be reformulated in terms of group actions on homogeneous spaces. This reformulation allows them to be tackled using\, alongside deep methods from algebra and algebraic geometry\, powerful tools from ergodic theory and dynamical systems. An example of the effectiveness of this approach is Margulis’s groundbreaking proof of the Oppenheim conjecture (formulated in 1929) concerning the values of quadratic forms at integer points.\nIn this talk\, aimed at a general audience\, we will describe recent results on the characterization of norm forms—a classical object in algebraic number theory—in terms of their values at integer points. These results answer natural questions and are related to still-open conjectures of Littlewood (from 1930) and of Cassels and Swinnerton-Dyer (from 1955). The proofs rely on studying the actions of maximal tori of algebraic groups on homogeneous spaces of arithmetic origin.\n\nFurther information can be found at\nhttps://icms.bg/category/icms-seminar/
URL:https://math.bas.bg/event/joint-meeting-of-the-icms-seminar-and-the-algebra-and-logic-seminar/?lang=en
LOCATION:Institute of Mathematics and Informatics\, BAS\, Akad.G.Bonchev St\, bl. 8\, 1113\, Sofia\, Bulgaria
CATEGORIES:Regular Seminar
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