BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jesse Madnick (University of Oregon / Seton Hall University) DTSTART:20240508T160000Z DTEND:20240508T170000Z DTSTAMP:20260423T021446Z UID:VSGS/91 DESCRIPTION:Title: Th e Morse index of quartic minimal hypersurfaces\nby Jesse Madnick (Univ ersity of Oregon / Seton Hall University) as part of Virtual seminar on ge ometry with symmetries\n\n\nAbstract\nGiven a minimal hypersurface S in a round sphere\, its Morse index is the number of variations that are area-d ecreasing to second order. In practice\, computing the Morse index of a gi ven minimal hypersurface is extremely difficult\, requiring detailed infor mation about the Laplace spectrum of S. Indeed\, even for the simplest cas e in which S is homogeneous\, the Morse index of S is not known in general .\n\nIn this talk\, we compute the Morse index of two such minimal hypersu rfaces. Moreover\, we observe that their spectra contain both integer eige nvalues as well as (irrational) eigenvalues that are not expressible in ra dicals. Time permitting\, we'll discuss some open problems and work-in-pro gress. This is joint work with Gavin Ball (Wisconsin) and Uwe Semmelmann ( Stuttgart).\n LOCATION:https://researchseminars.org/talk/VSGS/91/ END:VEVENT END:VCALENDAR