Department of

Mathematics


Seminar Calendar
for Operator algebra learning seminar events the year of Sunday, July 3, 2022.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, January 24, 2022

5:00 pm in 343 Altgeld Hall,Monday, January 24, 2022

Boundary of quantum circuits 2

Advith Govindarajan

Abstract: We will start the semester by clarifying some aspects of the paper on Entanglement spectrum and boundary theories with projected entangled-pair states by Cirac et al.

Monday, January 31, 2022

5:00 pm in Altgeld Hall,Monday, January 31, 2022

Organizational Meeting

Marius Junge (UIUC)

Abstract: We will discuss interesting topics for this semseter.

Monday, February 7, 2022

5:00 pm in 343 Altgeld Hall,Monday, February 7, 2022

Time as an additional resource

Marius Junge (UIUC)

Abstract: We study quantum evolution processes interrupted by measurements and their connection to large deviation theory.

5:00 pm in 343 Altgeld Hall,Monday, February 7, 2022

Time as an additional resource

Marius Junge (UIUC)

Abstract: We study quantum evolution processes interrupted by measurements and their connection to large deviation theory.

Monday, February 14, 2022

5:00 pm in 343 Altgeld Hall,Monday, February 14, 2022

The hom-space of the Connes' embedding problem

David Gao (UIUC)

Monday, February 21, 2022

5:00 pm in 343 Altgeld Hall,Monday, February 21, 2022

Curvature-dimension conditions for symmetric quantum Markov semigroups

Haonan Zhang (IST )

Abstract: The curvature-dimension condition consists of the lower Ricci curvature bound and upper dimension bound of the Riemannian manifold, which has a number of geometric consequences and is very helpful in proving many functional inequalities. The Bakry--Émery theory and Lott--Sturm--Villani theory allow to extend this notion beyond the Riemannian manifold setting and have seen great progress in the past decades. In this talk, I will first review several notions around lower Ricci curvature bounds in the noncommutative setting and present our work on gradient estimates. Then I will speak about two noncommutative versions of curvature-dimension conditions for symmetric quantum Markov semigroups over matrix algebras. Under suitable such curvature-dimension conditions, we prove a family of dimension-dependent functional inequalities, a version of the Bonnet--Myers theorem, and concavity of entropy power in the noncommutative setting. I will also give some examples satisfying certain curvature-dimension conditions, including Schur multipliers over matrix algebras, Herz-Schur multipliers over group algebras, and depolarizing semigroups. Our work also gives new proofs and new results in the discrete setting. This is based on arXiv:2007.13506 and arXiv:2105.08303, joint work with Melchior Wirth (IST Austria).

Monday, February 28, 2022

5:00 pm in 343 Altgeld Hall,Monday, February 28, 2022

Embedding in R^{omega}, Part 2

David Gao

Monday, March 7, 2022

5:00 pm in Altgeld Hall,Monday, March 7, 2022

Quantum money

Advith Govindarajan (UIUC)

Abstract: We follow the papers by Scott Aaronson for a first understanding of quantum money.

Monday, March 28, 2022

5:00 pm in 343 Altgeld Hall,Monday, March 28, 2022

Asymptotics of Young diagrams and quantum central limit theorem

Felix Leditzky (UIUC)

Abstract: We follow the work of Greg Kuperberg who proves a central limit theorem for noncommuting random random variables in von Neumann algebras.

Monday, April 4, 2022

5:00 pm in 343 Altgeld Hall,Monday, April 4, 2022

Asymptotics of Young diagrams and quantum central limit theorem

Felix Leditzky And Cloe Kim (UIUC)

Abstract: Continue from last time

Monday, April 11, 2022

5:00 pm in 343 Altgeld Hall,Monday, April 11, 2022

More on quantum central limit theorem

Cloe Kim (UIUC)

Abstract: Part 2 on quantum CLT

Monday, April 18, 2022

5:00 pm in Altgeld Hall,Monday, April 18, 2022

Lindbladians

Piexue Wu (UIUC)

Abstract: Peixue will discuss stability of Lindbladians.

Monday, May 2, 2022

5:00 pm in 343 Altgeld Hall,Monday, May 2, 2022

Lindbladian 2

Piexue Wu (UIUC)

Abstract: We will prove the stability of CLSI.