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DTSTART:20260308T070000
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DTSTART:20261101T060000
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DTSTART;TZID=America/Toronto:20261106T133000
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-and-topology-semi
 nar-jesse-madnick-morse-index
SUMMARY:Geometry and Topology Seminar | Jesse Madnick | The Morse index of\
 nquartic minimal hypersurfaces
CLASS:PUBLIC
DESCRIPTION:JESSE MADNICK (SETON HALL UNIVERSITY)\n\n_The Morse index of qu
 artic minimal hypersurfaces_\n\nGiven a minimal hypersurface S in a round 
 sphere\, its Morse index is\nthe number of variations that are area-decrea
 sing to second order. In\npractice\, computing the Morse index of a given 
 minimal hypersurface is\nextremely difficult\, requiring detailed informat
 ion about the Laplace\nspectrum of S. Indeed\, even for the simplest case 
 in which S is\nhomogeneous\, the Morse index of S is not known in general.
  \nIn this talk\, we compute the Morse index of two such minimal\nhypersur
 faces. Moreover\, we observe that their spectra contain both\ninteger eige
 nvalues as well as (irrational) eigenvalues that are not\nexpressible in r
 adicals. This is joint work with Gavin Ball (Missouri)\nand Uwe Semmelmann
  (Stuttgart). \nMC 5403
DTSTAMP:20261101T182916Z
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