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SUMMARY:Gustav Mårdby (Chalmers University of Technology)
DTSTART:20250515T143000Z
DTEND:20250515T150000Z
DTSTAMP:20260423T040038Z
UID:gbgphd/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/gbgphd/16/">
 Can one hear the shape of a drum? A glimpse into spectral geometry and fla
 t tori</a>\nby Gustav Mårdby (Chalmers University of Technology) as part 
 of Gothenburg PhD seminar\n\nLecture held in MVL15.\n\nAbstract\nWhat can 
 the sound of a drum tell us about its shape? This simple-sounding question
 \, famously posed by Mark Kac in 1966\, lies at the heart of spectral geom
 etry - a field that explores how the eigenvalues of the Laplacian relate t
 o the geometry of a space. In this talk\, we'll look at what information c
 an and cannot be recovered from the spectrum\, guided by classical results
 \, clever counterexamples\, and a few open problems. We'll then focus on t
 he case of flat tori\, where many of these results become particularly ele
 gant (and sometimes surprisingly tricky). In the end\, I will present a ne
 w result: a 6-dimensional triplet of isospectral\, non-isometric flat tori
 . No prior knowledge is expected - just bring your curiosity!\n
LOCATION:https://researchseminars.org/talk/gbgphd/16/
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