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SUMMARY:Resonance and Chen ranks in geometry - Gavril Farkas\, HU Berlin
DTSTART:20260211T141500Z
DTEND:20260211T151500Z
UID:TALK242956@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:Koszul modules and their associated resonance varieties are ob
 jects appearing in a variety of contexts in  algebraic geometry\, topology
 \, and combinatorics. I will offer an introduction to this circle of ideas
  and discuss a recent proof of  the Chen Ranks Conjecture describing the H
 ilbert function of any Koszul module verifying natural conditions inspired
  by geometry. Applications to hyperplane arrangements\, describing in a un
 iform effective manner the Chen ranks of the fundamental group of the comp
 lement of the arrangement will be presented. This is joint work with Aprod
 u\, Raicu and Suciu.
LOCATION:MR13
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