BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Tudor Pădurariu (CNRS\, IMJ-PRG\, Sorbonne Université) DTSTART:20241220T030000Z DTEND:20241220T043000Z DTSTAMP:20260422T155204Z UID:HKUST-AG/68 DESCRIPTION:Title: Conjectural equivalences of derived categories of Higgs bundles\nby Tudor Pădurariu (CNRS\, IMJ-PRG\, Sorbonne Université) as part of Algebr a and Geometry Seminar @ HKUST\n\nLecture held in Room 6580 (lift 27/28).\ n\nAbstract\nI will report on joint work with Yukinobu Toda (partially in progress) about the derived category of coherent sheaves of semistable Hig gs bundles on a curve. \n\nThese categories have semiorthogonal decomposit ions in certain categories analogous to the ``window categories” of Halp ern-Leistner\, Ballard-Favero-Katzarkov\, Špenko-Van den Bergh. In the fi rst half of the talk\, I will discuss the general theory of ``window categ ories”.\n\nNext\, I will focus on two conjectural dualities. The first i s between semistable Higgs bundles of degree zero and a "limit" category. This equivalence aims to make precise the proposal of Donagi-Pantev of con sidering the classical limit of the de Rham Langlands equivalence. The sec ond is a primitive version of the first\, and it relates categories of she aves on moduli of semistable Higgs bundles (for various degrees). This equ ivalence may be regarded as a version of the D-equivalence conjecture / SY Z mirror symmetry. We can prove (partial) versions of these conjectures fo r topological K-theory of these categories.\n LOCATION:https://researchseminars.org/talk/HKUST-AG/68/ END:VEVENT END:VCALENDAR