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SUMMARY:Jonas Stelzig
DTSTART:20211012T123000Z
DTEND:20211012T133000Z
DTSTAMP:20260423T024543Z
UID:GeoSem/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GeoSem/25/">
 Linear combinations of cohomological invariants of compact complex manifol
 ds</a>\nby Jonas Stelzig as part of Geometry Seminar - University of Flore
 nce\n\n\nAbstract\nWe will give answers to the following three questions a
 bout\nthe set of all compact complex manifolds of a given dimension:\n\n\n
 (i) Which linear relations between Hodge\, Betti and Chern numbers are\nun
 iversally satisfied?\n\n(ii) Which linear combinations of Hodge\, Betti an
 d Chern numbers are\nbimeromorphism invariants?\n\n(iii) Which linear comb
 inations of Hodge\, Betti and Chern numbers are\ntopological invariants?\n
 \n\nWe also present a strategy to answer the analogous questions when aske
 d\nabout `all' cohomological invariants (including e.g. the dimensions of\
 nhigher pages of the Frölicher spectral sequence or Bott Chern and Aeppli
 \ncohomology). We carry this out to obtain answers in low dimensions\, wit
 h\nanswers in any dimension being reduced to specific construction problem
 s.\n
LOCATION:https://researchseminars.org/talk/GeoSem/25/
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