Urbana Campus Research Calendar (OVCRI)

Speaker: Alejandro Chavez-Dominguez 
Title: Hypercontractivity on classical and quantum Boolean cubes: a tensor norm approach 

Abstract: When $1 \le p \le q \le \infty$, and $\mu$ is a probability measure, it follows from Hölder’s inequality that the identity map from $L_q(\mu)$ to $L_p(\mu)$ is contractive. A mapping which is contractive in the opposite direction is said to be hypercontractive. In this talk we present an approach, based on the Chevet-Saphar tensor norms, to prove the well-known hypercontractivity of Hermite operators on the classical and quantum Boolean cubes. This is joint work with Verónica Dimant (Universidad de San Andrés) and Daniel Galicer (Universidad Torcuato Di Tella). 

This is the weekly seminar of the Quantum Working Group in the Department of Mathematics. For questions, please reach out to Marius Junge, Gabriele La Nave, Felix Leditzky, or Amanda Young.