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SUMMARY:Musing on implementing semigroup representation theory and softwar
 e integration - Nicolas Thiery (Université Paris Saclay)
DTSTART:20200128T091000Z
DTEND:20200128T100000Z
UID:TALK137896@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Extending representation theory from finite groups to finite s
 emigroups brings interesting challenges\, combinatorics\, and applications
 . Almost a decade ago\, I proposed an algorithm to compute the Cartan Matr
 ix of a semigroup algebra -- a combinatorial invariant that contains infor
 mation on how projective modules are built from simple modules. It boils d
 own to computing with finite semigroups\, characters of groups\, and combi
 natorics. Despite this relative simplicity\, and much to my embarrassment\
 , a full production-grade implementation is only finally in reach.  &nbsp\
 ;  <br><br>In this talk\, I will report on ongoing joint work with my PhD 
 student Balthazar Charles to implement this algorithm and adapt it to modu
 lar representations\, and use this occasion to illustrate the evolution of
  our computational landscape toward an ecosystem of interoperable software
 \, thanks to large scale collaborations.
LOCATION:Seminar Room 1\, Newton Institute
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