Department of

# Mathematics

Seminar Calendar
for Operator Algebra Learning Seminar events the year of Thursday, December 7, 2017.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    November 2017          December 2017           January 2018
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1  2  3  4                   1  2       1  2  3  4  5  6
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Monday, January 23, 2017

5:00 pm in 241 Altgeld Hall,Monday, January 23, 2017

#### Quantised Calculus in One Dimension and Applications

###### Ed McDanoald (NSW)

Abstract: This talk will give some introduction for certain topics in noncommutative geometry with special emphasis on the 1-dimensional torus. An organizational meeting will be held a week later.

Monday, January 30, 2017

5:00 pm in 241 Altgeld Hall,Monday, January 30, 2017

#### Dixmier traces and limit sets of quasi-Fuchsian groups

###### Edward McDonald (NSW)

Abstract: Alain Connes in 1994 provided a formula for integration against the Hausdorff measure on the limit set of a quasi-Fuchsian group in terms of a Dixmier trace. This talk discusses the formulation of this result and its proof.

Monday, February 6, 2017

5:00 pm in 241 Altgeld Hall,Monday, February 6, 2017

#### Noethers theorem in QIT

###### Nicholas LaRacuente (UIUC Physics)

Abstract: We will discuss and interesting measure of symmetry and how this relates to physics-following a paper by Spekkens

Monday, February 13, 2017

5:00 pm in 241 Altgeld Hall,Monday, February 13, 2017

#### Noethers Theorem and Symmetry

###### Nicolas LaRacuente (UIUC physics)

Abstract: We will understand the symmetry measures in the discrete setting associated to discrete actions.

Monday, February 20, 2017

5:00 pm in 241 Altgeld Hall,Monday, February 20, 2017

#### Quasidiagonality of Nuclear C*-Algebras

###### Chris Linden (UIUC Math)

Abstract: Tikuisis, White, and Winter have shown that faithful traces on separable, nuclear C*-algebras which satisfy the UCT are quasidiagonal. As a corollary, the reduced group C*-algebra of an amenable group is quasidiagonal. I will discuss Schafhauser's recent proof of this theorem using the extension theory of C*-algebras.

Monday, February 27, 2017

5:00 pm in 241 Altgeld Hall,Monday, February 27, 2017

#### Quasidiagonality of Nuclear C*-Algebras

###### Chris Linden (UIUC Math)

Abstract: We continue from last time with Schafhauser's proof.

Monday, March 6, 2017

5:00 pm in 241 Altgeld Hall,Monday, March 6, 2017

#### Embedding of Heisenberg group in L_1

###### Jeremy and Chris (UIUC)

Abstract: This is an introduction to a series of lectures showing that the Heisenberg group does not embed in (commutative) L_1

Monday, March 13, 2017

5:00 pm in 241 Altgeld Hall,Monday, March 13, 2017

#### Embedding of Heisenberg group in L_1

###### Chris (UIUC)

Abstract: Part 2: The details

Monday, March 27, 2017

5:00 pm in 241 Altgeld Hall,Monday, March 27, 2017

#### Embedding of Heisenberg group in L_1

###### Jeremy Tyson (UIUC)

Abstract: We continue proving the non-embedding result

Monday, April 3, 2017

5:00 pm in 241 Altgeld Hall,Monday, April 3, 2017

#### Embedding of Heisenberg groups

###### Jeremy Tyson (UIUC)

Abstract: Jeremy will present the last part of the blow up argmument

Monday, April 10, 2017

5:00 pm in 241 Altgeld Hall,Monday, April 10, 2017

#### A Characterization Of Morita equivalent pairs

###### Wafaa AlBar (Illinois)

Abstract: We follow a recent paper by Todorov.

Monday, April 17, 2017

5:00 pm in 241 Altgeld Hall,Monday, April 17, 2017

#### TRO and Symmetric domains

###### Wafaa AlBar

Abstract: We continue the topic from last time by connecting to to symmetric domains.

Monday, April 24, 2017

5:00 pm in 241Altgeld Hall,Monday, April 24, 2017

#### Locally Compact Groups and Duality

###### Terence Harris (UIUC&NSW)

Abstract: I will talk about locally compact groups and duality, both in the commutative and then the noncommutative case.

Monday, October 23, 2017

5:00 pm in 445 Altgeld Hall,Monday, October 23, 2017

#### A brief introduction to Banach lattices and multinormed spaces

###### Timur Oikberg

Abstract: We start by briefly introducing Banach lattices, and describing their properties. We then segue to multinormed spaces, which were introduced to obtain an abstract description of Banach lattices (cf. concrete vs. abstract operator spaces). Properties of multinormed spaces and their representations as subspaces of Banach lattices will be discussed. PS We will also briefly discuss organizational issues

Monday, October 30, 2017

5:00 pm in 445 Altgeld Hall,Monday, October 30, 2017

#### Banach lattices and multinormed spaces II

###### Timur Oikberg (UIUC)

Monday, November 6, 2017

5:00 pm in 445 Altgeld Hall,Monday, November 6, 2017

#### Decay estimates for quantum systems

###### Marius Junge

Abstract: Recently the connection between hypercontractivity and decay estimates for quantum systems has become a hot topic in QIT. We present the first results by Temme and his collaborators.

Monday, November 13, 2017

5:00 pm in 445 Altgeld Hall,Monday, November 13, 2017

#### Concentration and hypercontractivity for quantum systems

###### Marius Junge (UIUC )

Abstract: We will focus on L_p regularity and how to derive hupercontractivity from ultracontractivity-follwing papers by Temme and his coauthors.

Monday, November 27, 2017

5:00 pm in Altgeld Hall 445,Monday, November 27, 2017

#### Gradient Flows for Quantum Markov Semigroups

###### Li Gao   [email] (UIUC Math)

Abstract: A large number of classical evolution equations could be viewed as gradient flow in the 2-Wasserstein metric for certain functionals, and that when the functionals were uniformly convex along geodesics of this geometry, a host of functional inequalities such as logarithmic Sobolev inequality were consequently valid. In this talk, I will discuss the recent work of E. A. Carlen and J. Maas on extending this story to quantum Markov semigroups. They show that if an ergodic quantum Markov semigroup satisfies detailed balance condition, then in a noncommutative analog of 2-Wasserstein metric it is the gradient flow for the relative entropy with respect to the equilibrium state. If time permits, I will also mention the connection to functional inequalities.

Monday, December 4, 2017

5:00 pm in Altgeld Hall,Monday, December 4, 2017

#### Quantum Markov Seimgroups as Gradient Flows II

###### Li Gao   [email] (UIUC Math)

Abstract: We will continue to discuss Carlen and Maas' paper on gradient flow for quantum Markov Semigroup. We will talk about Fermionic and Bosonic Ornstein-Uhlenbeck semigroup as examples and also the connections to functional inequalities.

Monday, December 11, 2017

5:00 pm in 445 Altgeld Hall,Monday, December 11, 2017

#### presentations

###### uiuc students (UIUC)

Abstract: Several talks will be presented on Stinespring's dilation theorem, Bell inequalities, Teleportation and superdense coding, Grothendieck's inequality and nonlocality, and recovery.