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UID:c6f385f6b781be3f15f928588a74262d
CATEGORIES:Topology/Geometry Seminar
CREATED:20231108T182949
SUMMARY:Sheaves and Continuation in Dynamics
LOCATION:Hill 705
DESCRIPTION:Seminar website: https://sites.google.com/view/rutgersgeometrytopologysem23
 24/home (https://sites.google.com/view/rutgersgeometrytopologysem2324/home)
 \n
X-ALT-DESC;FMTTYPE=text/html:<p>Seminar website:&nbsp;<a href="https://sites.google.com/view/rutgersgeom
 etrytopologysem2324/home">https://sites.google.com/view/rutgersgeometrytopo
 logysem2324/home</a></p>
CONTACT:Alex Dowling (Rutgers-New Brunswick)
X-EXTRAINFO:Abstract:\nAlgebraic structures, such as the lattice of attractors, provide
  a computable description of global dynamics. In this talk, we discuss rece
 nt work on a sheaf-theoretic approach to their continuation. Sheaves are bu
 ilt from algebraic structures of dynamics, which track the algebraic data a
 s systems vary. Sheaf cohomology is computed for several classical bifurcat
 ions, demonstrating its ability to detect and classify bifurcations. Comput
 ational analogues of sheaves, cellular sheaves, are shown to yield a conver
 ging numerical method to compute sheaf cohomology.
DTSTAMP:20260830T193453
DTSTART;TZID=America/New_York:20231114T160000
DTEND;TZID=America/New_York:20231114T170000
SEQUENCE:0
TRANSP:OPAQUE
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