[Colloquium] Talk by Amir Yehudayoff, IAS on December 1, 2009
Katie Casey
caseyk at cs.uchicago.edu
Wed Nov 18 10:24:29 CST 2009
DEPARTMENT OF COMPUTER SCIENCE
UNIVERSITY OF CHICAGO
Date: Tuesday, December 1, 2009
Time: 3:00 p.m.
Place: RY 251
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Speaker: Amir Yehudayoff
From: Institute for Advanced Study
Web page: http://www.math.ias.edu/~amiry/
Title: Algebraic complexity with less relations (joint work with P.
Hrubes and A. Wigderson).
Abstract: In his seminal paper, Valiant defined algebraic analogs for
the complexity classes P and NP, which are called today VP and VNP,
and showed that the permanent is complete for VNP. In this talk we
study a more restricted algebraic world, a world in which the
variables do not commute and associate. We show that, although
restricted, this world exhibits some interesting properties: the
permanent is complete even in the non-associative non-commutative
version of VNP. We are also able to prove lower bounds for circuits in
such a restricted world, and thus able to separate VP from VNP in a
non-associative world.
The reception will be held prior to the talk in RY 255 at 2:30.
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