Department of

Mathematics


Seminar Calendar
for events the day of Monday, October 7, 2019.

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Monday, October 7, 2019

3:00 pm in 441 Altgeld Hall,Monday, October 7, 2019

Motivating Higher Toposes: Geometric Characteristic Classes

Joseph Rennie (UIUC Math)

Abstract: This will be part one of two talks aimed at motivating higher topos theory from physics. In this talk we will give a brief history of classical obstructions for manifolds, then suddenly find ourselves naturally requiring tools from higher topos theory. In the end, we shall see how working with simplicial sheaves on Manifolds allows us to define (but more importantly compute) geometric characteristic classes.

5:00 pm in 241 Altgeld Hall,Monday, October 7, 2019

Some properties of alpha fidelities.

Xiaojing Yan

Abstract: The alpha fidelities constitute a family of information measures that generalize the well-known fidelity, inheriting many of its properties. In the first half of the talk, we will introduce some natural properties for quantum alpha fidelities, including data-processing inequalities and monotonicity and so on. In the second, we will calculate the quantum α-fidelity between unitary orbits.