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DTSTART;TZID=Europe/Berlin:20260707T161500
DTEND;TZID=Europe/Berlin:20260707T174500
DTSTAMP:20260802T043219
CREATED:20260723T124853Z
LAST-MODIFIED:20260728T113530Z
UID:10000160-1783440900-1783446300@www.trr352.de
SUMMARY:Symmetry of optimizers by examples
DESCRIPTION:The course is intended especially for Master’s students\, PhD students\, and postdoctoral researchers\, but everyone interested is warmly welcome to attend. \nIf a variational problem has a symmetry\, it is natural to ask whether an optimizer has the same symmetry. Symmetries offer clear advantages for computing optimizers and determining the optimal value of a variational problem. \nIn general\, however\, optimizers do not necessarily reflect the underlying symmetry: symmetry may be broken. The mathematical analysis must therefore focus on relevant\, non-trivial examples and the techniques used to study them. \nKey examples will include the sharp Sobolev inequality and its generalization\, the Caffarelli–Kohn–Nirenberg inequalities\, as well as sharp Hardy–Littlewood–Sobolev inequalities and Beckner’s inequality. \nParticular emphasis will be placed on techniques such as the use of the isoperimetric inequality and rearrangements\, flows\, and Obata-type identities\, as well as the analysis of the second variation operator for proving symmetry breaking. \nIf time permits\, sharp spinor inequalities will also be discussed. \nThe course is intended especially for Master’s students\, PhD students\, and postdoctoral researchers\, but everyone interested is warmly welcome to attend. \nNo registration is required. \nDates and Rooms \nTuesday\, 7 July\n16:15–17:45 · Room B 047 \nWednesday\, 8 July\n16:15–17:45 · Room A 027 \nFriday\, 10 July\n16:15–17:45 · Room A 027 \nLocation \nLMU Munich · Mathematical Institute\nTheresienstr. 39
URL:https://www.trr352.de/event/symmetry-of-optimizers-by-examples/
LOCATION:Room A 027\, Theresienstr. 37\, Munich\, 80333\, Germany
CATEGORIES:Mini Course
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