Here are some recent talks. I'll try to add a few more in the near future.
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From stable sets to sums of squares and cone factorizations
[PDF]
Oberwolfach Workshop on Combinatorial Optimization, November 2011.
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An optimal architecture for decentralized control over posets
[PDF]
ISL Colloquium, Stanford University, March 2011.
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Rank/sparsity minimization and latent variable graphical model selection
[PDF]
IPAM Workshop on
Numerical Methods for Continuous Optimization, October 2010.
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Consistency of Preferences and Near-Potential Games
[PDF]
Workshop on
Distributed Decisions via Games and Price Mechanisms, Lund University, Sweden, March 2010.
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The convex algebraic geometry of rank minimization
[PDF]
International Symposium on Mathematical Programming (ISMP 2009),
plenary talk, August 2009.
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Semidefinite programming and convex algebraic geometry
[PDF]
Foundations of Computational Mathematics (FoCM 2008),
plenary talk, June 2008.
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Sum of squares optimization in the analysis and synthesis of control systems
[PDF]
2006 American Control Conference (ACC 2006),
Eckman Lecture, June 2006.