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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Administration
Academic Support
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
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News
News
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Differential Geometry Seminar On the differential geometry of variations of stability for moduli of parabolic Higgs bundles
On the differential geometry of variations of stability for moduli of parabolic Higgs bundles
Organizers
Kenji Fukaya , Lynn Heller , Sebastian Heller , Kotaro Kawai
Speaker
Claudio Meneses
Time
Tuesday, October 14, 2025 3:00 PM - 4:00 PM
Venue
A7-201
Online
Zoom 388 528 9728 (BIMSA)
Abstract
An interesting feature of moduli spaces of stable parabolic Higgs bundles on compact Riemann surfaces is that they determine an infinite series of families of hyper-Kähler metrics, in part coming from the dependence of the former on choices of stability parameters. Although the wall-crossing phenomena associated with such dependence is well understood as a problem in birational geometry, the analogous differential-geometric problem for the hyper-Kähler structure is still outstanding. Due to a theorem independently proved by Feix and Kaledin, this problem can be reduced to a simpler one on a special irreducible component of their nilpotent cone, namely the moduli spaces of stable parabolic bundles. In this talk I will discuss results on the variation problem in the special case of genus 0. A special feature of this case is that in particular it accounts for all examples in the minimal dimension 2, and these have been conjectured to correspond to all families of gravitational instantons of type ALG.
Beijing Institute of Mathematical Sciences and Applications
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