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DESCRIPTION: Invariant and representation theory studies symmetries by mean
 s of group actions and is a well established source of unifying principles 
 in mathematics and physics. Recent research suggests its relevance for comp
 lexity and optimization through quantitative and algorithmic questions. The
  goal of the lecture is to give an introduction to new algorithmic and anal
 ysis techniques that extend convex optimization from the classical Euclidea
 n setting to a general geodesic setting. We also point out surprising conne
 ctions to a diverse set of problems in different areas of mathematics\, sta
 tistics\, computer science\, and physics. The lecture is mainly based on th
 is joint article with Cole Franks\, Ankit Garg\, Rafael Oliveira\, Michael 
 Walter and Avi Wigderson: http://arxiv.org/abs/1910.12375 
DTSTAMP:20210209T192800
DTSTART:20210222T141500
CLASS:PUBLIC
LOCATION:online
SEQUENCE:0
SUMMARY:Peter Bürgisser (Technische Universität Berlin): Optimization\, Com
 plexity and Invariant Theory
UID:109377548@/www.mi.fu-berlin.de
URL:https://www.mi.fu-berlin.de/en/facetsofcomplexity/monday/20210222-L-Bue
 rgisser.html
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