# Mathematical Sciences Research Institute

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# Schedule, Notes/Handouts & Videos

## Hot Topics: Kadison-Singer, Interlacing Polynomials, and Beyond March 09, 2015 - March 13, 2015

Mar 09, 2015
Monday
 09:15 AM - 09:30 AM Welcome 09:30 AM - 10:30 AM Hyperbolic polynomials, Strong Rayleigh matroids and the Marcus-Spielman-Srivastava theorem Petter Branden (Royal Institute of Technology (KTH)) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Introduction to Interlacing Polynomials, Barrier Functions, and Kadison-Singer Daniel Spielman (Yale University) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Determinants, Hyperbolicity, and Interlacing Cynthia Vinzant (North Carolina State University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM An overview of the Matching Polynomial Chris Godsil (University of Waterloo)
Mar 10, 2015
Tuesday
 09:30 AM - 10:30 AM Laws of non-commutative polynomials in $n$-tuples of free variables Dimitri Shlyakhtenko (University of California, Los Angeles) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Free probability, random matrices and transport maps Alice Guionnet (École Normale Supérieure de Lyon) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Polynomial convolutions and connections to free probability Adam Marcus (Yale University) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Ramanujan graphs from finite free convolutions. Nikhil Srivastava (University of California, Berkeley) 04:30 PM - 06:20 PM Reception
Mar 11, 2015
Wednesday
 09:30 AM - 10:30 AM Towards Constructing Expanders via Lifts: Hopes and Limitations Alexandra Kolla (University of Illinois at Urbana-Champaign) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Expanders and box spaces Alain Valette (Université de Neuchâtel)
Mar 12, 2015
Thursday
 09:30 AM - 10:30 AM Commutators in L(X) for some Banach spaces X William Johnson (Texas A & M University) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM A quantitative version of the commutator theorem for zero trace matrices Gideon Schechtman (Weizmann Institute of Science) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Paving over arbitrary MASAs in von Neumann algebras Stefaan Vaes (Katholieke Universiteit Leuven) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM A survey of discrepancy theory Nicholas Harvey (University of British Columbia)
Mar 13, 2015
Friday
 09:30 AM - 10:30 AM Hyperbolic Polynomials in Optimization Osman Guler (University of Maryland Baltimore County) 10:30 AM - 11:00 AM Tea 11:00 AM - 12:00 PM Effective-Resistance-Reducing Flows, Spectrally Thin Trees, and Asymmetric TSP Shayan Oveis Gharan (University of Washington) 12:00 PM - 02:00 PM Lunch 02:00 PM - 03:00 PM Approximating the covariance matrix by the empirical covariance matrices; non-limiting random matrix approach Nicole Tomczak-Jaegermann (University of Alberta) 03:00 PM - 03:30 PM Tea 03:30 PM - 04:30 PM Hyperbolicity and determinantal representations for higher-codimensional subvarieties Victor Vinnikov (Ben Gurion University of the Negev)