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DTSTART:20070311T020000
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DTSTAMP:20261015T100828
DTSTART;TZID=America/Detroit:20261104T160000
DTEND;TZID=America/Detroit:20261104T170000
SUMMARY:Workshop / Seminar:Strongly log-concave measures and lattices
DESCRIPTION:Abstract: Let L be a lattice in R^n. Suppose that L has the property that the determinant of every\nnon-zero sublattice L' of L is larger than one. We prove that there exists a symmetric random vector X on R^n\nwith a smooth\, strictly positive density f on R^n simultaneously enjoying the following two properties: \n\na) f is strongly log-concave.\nb) X + L is uniform on R^n/L.\n\nMoreover\, the existence of such a density f on R^n characterizes this determinant condition imposed on L. This construction connects several problems \nin lattice theory to established results in convex geometry. We discuss a range of applications. This is joint work with Victor Reis and Thomas Rothvoss.
UID:153726-21916243@events.umich.edu
URL:https://events.umich.edu/event/153726
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4088
CONTACT:
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