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ORGANIZER;CN=Takanen Emilia:mailto:emilia.takanen@aalto.fi
ATTENDEE;ROLE=REQ-PARTICIPANT;PARTSTAT=NEEDS-ACTION;RSVP=FALSE;CN=agc-math-
 aalto@list.aalto.fi:mailto:agc-math-aalto@list.aalto.fi
ATTENDEE;ROLE=REQ-PARTICIPANT;PARTSTAT=NEEDS-ACTION;RSVP=FALSE;CN=matlait-h
 enkilosto@helsinki.fi:mailto:matlait-henkilosto@helsinki.fi
DESCRIPTION;LANGUAGE=en-US:We would like to invite you to a talk in the Aal
 to AGC (Algebra\, Geometry and Combinatorics) Seminar.\n\nThe talk is on\n
 Mon 15.6. at 14:15-15:00\nin\nM3 (M234)\, Otakaari 1.\n\nThe speaker is\nA
 nthony Mäkelä (University of Gothenburg)\ngiving the talk\nModuli of $P$
 -critical connections via moment maps and analytic GIT\n\n\nAbstract: The 
 Kobayashi--Hitchin correspondence relates stable holomorphic vector bundle
 s to special connections\, and can be viewed as a prototype for a broader 
 principle: extremal objects in differential geometry should correspond to 
 stable objects in algebraic geometry. Motivated by Bridgeland stability co
 nditions\, recent work has introduced polynomial curvature equations for H
 ermitian vector bundles\, including (Z)-critical and (P)-critical connecti
 ons\, which generalize the Hermite--Einstein equation and admit moment-map
  interpretations. In this talk\, I will describe a construction of moduli 
 spaces for (P)-critical connections using local deformation theory and ana
 lytic geometric invariant theory. The construction produces finite-dimensi
 onal analytic GIT quotient charts around a (P)-critical connection and glu
 es them into a Hausdorff complex space carrying a natural Weil--Petersson-
 type geometry.\n\nThe webpage of the seminar is at\nmath.aalto.fi/en/resea
 rch/discrete/seminars/agc/<https://math.aalto.fi/en/research/discrete/semi
 nars/agc/>\nand we have a mailing list at\nhttps://list.aalto.fi/mailman/l
 istinfo/agc-math-aalto\n\n\n
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 010000000BE37530973113746A67C8F0281E24ADE
SUMMARY;LANGUAGE=en-US:[Aalto AGC Seminar] Anthony Mäkelä (University of 
 Gothenburg) | Moduli of P-critical connections via moment maps and analyti
 c GIT | Mon 15.6. at 14:15
DTSTART;TZID=FLE Standard Time:20260615T141500
DTEND;TZID=FLE Standard Time:20260615T150000
CLASS:PUBLIC
PRIORITY:5
DTSTAMP:20260612T111033Z
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STATUS:CONFIRMED
SEQUENCE:1
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