MSR/MIT Theory Reading Group

Hypercontractivity made easy, and sharp threshold theorems : Lecture 2
Tuesday, August 6, 2013 - 3:00pm to 6:00pm

This lecture will further develop the randomization/symmetrization
technique in the setting of functions on general product probability
spaces. Our motivation will be the desire to prove "sharp threshold

Hypercontractivity made easy, and sharp threshold theorems: Lecture 1
Tuesday, July 30, 2013 - 3:00pm to 6:00pm

In this lecture I'll introduce the "Hypercontractivity Theorem" for
real-valued functions on the boolean cube, f : {-1,1}^n -> R and
explain how you can view it as either:
. a natural strengthening of Holder's inequality;

Understanding Incentives: Reducing Mechanism- to Algorithm-Design
Friday, July 12, 2013 - 12:45pm to 3:45pm

In traditional algorithm design, no incentives come into play: the input is given, and your algorithm must produce a correct output.

Green-Tao, Szemerédi, and transference
Friday, June 28, 2013 - 12:45pm to 3:30pm

The celebrated Green-Tao theorem states that the primes contain arbitrarily long arithmetic progressions. In this talk, I will give some background and explain the ideas of proof, including some recent simplifications due to Conlon, Fox, and myself.

Association Schemes, Non-Commutative Polynomials and Lasserre Lower Bounds for Planted Clique
Friday, June 21, 2013 - 12:45pm to 3:45pm

Finding cliques in random graphs and the closely related "planted" clique variant, where a clique of size k is planted in a random G(n,1/2) graph, have been the focus of substantial study in algorithm design.

Hypercontractivity of spherical averages in Hamming space
Friday, June 14, 2013 - 12:45pm to 3:45pm

Certain conditional expectation operators (stochastic matrices) have the property, called hypercontractivity (HC), that their Lp->Lq norm is 1 for p < q.

Indistinguishability Obfuscation and Functional Encryption for all circuits
Friday, July 26, 2013 - 12:45pm to 3:45pm

The goal of secure program obfuscation is to make a program ``unintelligible'' while preserving functionality. Unfortunately, 12 years ago, Barak et al. showed that the most natural simulation-based formulation of this problem is impossible to achieve. However, Barak et al.

Finding Needles in Exponential Haystacks
Friday, July 19, 2013 - 12:45pm to 3:45pm

http://people.csail.mit.edu/madhu/reading-group/

Unique games, the Lasserre hierarchy and monogamy of entanglement
Friday, May 24, 2013 - 12:45pm to 3:45pm

In this talk, I'll describe connections between the unique games conjecture (or more precisely, the closely relatedly problem of small-set expansion) and the quantum separability problem.

Sanjeev Khanna - TBD
Friday, May 17, 2013 - 12:45pm to 3:45pm

http://people.csail.mit.edu/madhu/reading-group/

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