Department of

# Mathematics

Seminar Calendar
for Operator Algebra Learning Seminar events the year of Friday, May 27, 2022.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
      April 2022              May 2022              June 2022
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2    1  2  3  4  5  6  7             1  2  3  4
3  4  5  6  7  8  9    8  9 10 11 12 13 14    5  6  7  8  9 10 11
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17 18 19 20 21 22 23   22 23 24 25 26 27 28   19 20 21 22 23 24 25
24 25 26 27 28 29 30   29 30 31               26 27 28 29 30



Monday, January 24, 2022

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

#### Boundary of quantum circuits 2

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

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

###### 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