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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-
 henkilosto@helsinki.fi':mailto:matlait-henkilosto@helsinki.fi
DESCRIPTION;LANGUAGE=en-US:We would like to invite you to the first talk of
  autumn in the Aalto AGC (Algebra\, Geometry and Combinatorics) Seminar.\n
 \nThe talk is on\nMon 31.8. at 14:15-15:00\nin\nM3 (M234)\, Otakaari 1.\n\
 nThe speaker is\nJoel Hakavuori (Sorbonne University\, IMJ-PRG)\ngiving th
 e talk\nUnimodality\, Lefschetz theory\, and F-purity\n\nAbstract: The g-c
 onjecture for simplicial spheres and the Hibi-Ohsugi conjecture for IDP re
 flexive lattice polytopes are unimodality conjectures for face-number data
  and lattice-point enumerators\, respectively. In both cases\, these seque
 nces occur as the Hilbert function of an associated Artinian Gorenstein al
 gebra\, and the desired unimodality follows from a Lefschetz property for 
 that algebra. Recent proofs in characteristic 2 replace the positivity arg
 uments familiar from the classical theory of simplicial polytopes by an an
 isotropy argument: using a generic Artinian reduction\, identities for the
  volume map\, and differentiation identities\, one proves that nonzero ele
 ments up to the middle degree have nonzero squares\, which is eventually u
 sed to prove that a generic linear form is a Lefschetz element.\n\nThe web
 page of the seminar is at\nmath.aalto.fi/en/research/discrete/seminars/agc
 /<https://math.aalto.fi/en/research/discrete/seminars/agc/>\nand we have a
  mailing list at\nhttps://list.aalto.fi/mailman/listinfo/agc-math-aalto\n\
 n\n
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SUMMARY;LANGUAGE=en-US:[Aalto AGC Seminar] Joel Hakavuori (Sorbonne Univers
 ity\, IMJ-PRG) | Unimodality\, Lefschetz theory\, and F-purity | Mon 31.08
 . at 14:15
DTSTART;TZID=FLE Standard Time:20260831T141500
DTEND;TZID=FLE Standard Time:20260831T150000
CLASS:PUBLIC
PRIORITY:5
DTSTAMP:20260824T101716Z
TRANSP:OPAQUE
STATUS:CONFIRMED
SEQUENCE:1
LOCATION;LANGUAGE=en-US:M3 (M234)\, Otakaari 1
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