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SUMMARY:Michael Joswig (TU Berlin)
DTSTART:20240223T140000Z
DTEND:20240223T150000Z
DTSTAMP:20260423T021528Z
UID:ACPMS/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ACPMS/37/">Q
 uantum automorphisms of matroids</a>\nby Michael Joswig (TU Berlin) as par
 t of Algebraic and Combinatorial Perspectives in the Mathematical Sciences
 \n\n\nAbstract\nMotivated by the vast literature of quantum automorphism g
 roups of graphs\, we define and study quantum automorphism groups of matro
 ids. A key feature of quantum groups is that there are many quantizations 
 of a classical group\, and this phenomenon manifests in the cryptomorphic 
 characterizations of matroids. Our primary goals are to understand\, using
  theoretical and computational techniques\, the relationship between these
  quantum groups and to find when these quantum groups exhibit quantum symm
 etry. Finally\, we prove a matroidal analog of Lovász's theorem character
 izing graph isomorphisms in terms of homomorphism counts.\n\nJoint work wi
 th Daniel Corey\, Julien Schanz\, Marcel Wack\, and Moritz Weber.\n
LOCATION:https://researchseminars.org/talk/ACPMS/37/
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