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Title: Presentations of research programs I

Speaker: Fabrice Baudoin, Matthew Badger, and Luke Rogers (University of Connecticut)

Time: Friday, September 7, 2018 at 3:30 pm

Place: MONT 414Abstract: The aim of these short talks are that each faculty in the analysis group will introduce his/her research program. These introductory talks will be accessible to everyone and the first and the second year graduate students are particularly invited.

Title: Presentations of research programs II

Speaker: Xiaodong Yan, Ovidiu Munteanu, Sean Li, and Maria Gordina (University of Connecticut)

Time: Friday, September 14, 2018 at 3:30 pm

Place: MONT 414Abstract: The aim of these short talks are that each faculty in the analysis group will introduce his/her research program. These introductory talks will be accessible to everyone and the first and the second year graduate students are particularly invited.

Title: Strichartz estimates on compact symmetric spaces I

Speaker: Yunfeng Zhang (University of Connecticut)

Time: Friday, September 21, 2018 at 3:30 pm

Place: MONT 414Abstract: In the first talk, I will introduce the problems of Fourier restriction and Strichartz estimates. In the second talk, I will review the fundamental tools of harmonic analysis on compact symmetric spaces. In the final talk, I will sketch a proof of some Strichartz estimates on compact Lie groups.

Title: Strichartz estimates on compact symmetric spaces II

Speaker: Yunfeng Zhang (University of Connecticut)

Time: Friday, September 28, 2018 at 3:30 pm

Place: MONT 414Abstract: In the first talk, I will introduce the problems of Fourier restriction and Strichartz estimates. In the second talk, I will review the fundamental tools of harmonic analysis on compact symmetric spaces. In the final talk, I will sketch a proof of some Strichartz estimates on compact Lie groups.

Title: Strichartz estimates on compact symmetric spaces III

Speaker: Yunfeng Zhang (University of Connecticut)

Time: Friday, October 5, 2018 at 3:30 pm

Place: MONT 414Abstract: In the first talk, I will introduce the problems of Fourier restriction and Strichartz estimates. In the second talk, I will review the fundamental tools of harmonic analysis on compact symmetric spaces. In the final talk, I will sketch a proof of some Strichartz estimates on compact Lie groups.

Title: Naber and Valtorta's Discrete Reifenberg Theorem

Speaker: Sean McCurdy (University of Washington)

Time: Friday, October 19, 2018 at 3:30 pm

Place: MONT 414Abstract: In Naber and Valtorta's 2017 Annals paper, one of the key tools of their work is a powerful new packing result, the so-called Discrete Reifenberg theorem, which yields a number of interesting results about rectifiability. This talk will focus not on the many applications of this theorem, but will focus on introducing the theorem and it's immediate implications, which can be seen as extensions of the Reifenberg Topological Disc theorem and the work of David-Toro. The focus will be on providing context with an outline of the proof ideas at the end, time willing. I promise to draw more pictures than equations.

Title: Non-commutative disintegration

Speaker: Arthur Parzygnat (University of Connecticut)

Time: Friday, October 26, 2018 at 3:30 pm

Place: MONT 414Abstract: The notion of a disintegration of positive measures can be formulated diagrammatically in a category of measure spaces and transition kernels. Combining this with the functor relating transition kernels to positive operators on C*-algebras, a notion of non-commutative disintegration can be made for states on C*-algebras. While a certain degree of uniqueness holds as in the classical measure-theoretic case, existence of such disintegrations is not guaranteed even on finite-dimensional matrix algebras. Such disintegrations are closely related to reversible quantum channels in quantum information theory and non-commutative conditional probabilities. This is joint work with Benjamin P. Russo (Farmingdale State College SUNY).

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Speaker: Lisa Naples (University of Connecticut)

Time: Friday, November 9, 2018 at 3:30 pm

Place: MONT 414

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Speaker: Christopher Hayes (University of Connecticut)

Time: Friday, November 30, 2018 at 3:30 pm

Place: MONT 414

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Speaker: Gamal Mograby (University of Connecticut)

Time: Friday, December 7, 2018 at 3:30 pm

Place: MONT 414

Organizer: Matthew Badger