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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.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20210222-L-Buergisser.html
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