Mon, 12 Aug 2024
16:00
C4

A topology on E-theory

Jose Carrion
(Texas Christian University)
Abstract
For separable C*-algebras A and B, we define a topology on the set [[A,B]] consisting of homotopy classes of asymptotic morphisms from A to B. This gives an enrichment of the Connes–Higson asymptotic category over topological spaces. We show that the Hausdorffization of this category is equivalent to the shape category of Dadarlat. As an application, we obtain a topology on the E-theory group E(A,B) with properties analogous to those of the topology on KK(A,B). The Hausdorffized E-theory group EL(A,B)  is also introduced and studied. We obtain a continuity result for the functor EL(- , B) which implies a new continuity result for the functor KL(-, B).
 
This is joint work with Christopher Schafhauser.
 
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Prioritising older individuals for COVID-19 booster vaccination leads to optimal public health outcomes in a range of socio-economic settings
 Bouros, I Hill, E Keeling, M Moore, S Thompson, R PLoS Computational Biology volume 20 issue 8 (08 Aug 2024)
Harder-Narasimhan filtrations of persistence modules
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Examples of CD(0,N) spaces with non-constant dimension
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Thu, 31 Oct 2024

14:00 - 15:00
Lecture Room 3

Theory to Enable Practical Quantum Advantage

Balint Koczor
(Oxford University)
Abstract

Quantum computers are becoming a reality and current generations of machines are already well beyond the 50-qubit frontier. However, hardware imperfections still overwhelm these devices and it is generally believed the fault-tolerant, error-corrected systems will not be within reach in the near term: a single logical qubit needs to be encoded into potentially thousands of physical qubits which is prohibitive.

 

Due to limited resources, in the near term, hybrid quantum-classical protocols are the most promising candidates for achieving early quantum advantage and these need to resort to quantum error mitigation techniques. I will explain the basic concepts and introduce hybrid quantum-classical protocols are the most promising candidates for achieving early quantum advantage. These have the potential to solve real-world problems---including optimisation or ground-state search---but they suffer from a large number of circuit repetitions required to extract information from the quantum state. I will finally identify the most likely areas where quantum computers may deliver a true advantage in the near term.

 

Bálint Koczor

Associate Professor in Quantum Information Theory

Mathematical Institute, University of Oxford

webpage

Apple picking in Wytham

Barrie Juniper, a former member of the Department of Biology established a collection of 100 different sorts of apple in the Wytham Walled Garden when he and Stephen Harris were working on the genetics of apples. Many of these still survive, although some have died out.

The Walled Garden is not normally accessible, but on a couple of afternoons in the autumn it is open for anyone to come and pick the fruit (though taste them first, some are rather bitter).

Nonlocal particle approximation for linear and fast diffusion equations
 Carrillo, J Esposito, A Skrzeczkowski, J Wu, J (05 Aug 2024) http://arxiv.org/abs/2408.02345v1

Song of the Week: The Honeycombs - Have I the Right?

What do you call someone who hangs out with musicians?

A drummer.

Okay, drummers get stick (sic). John Lennon, when asked if Ringo was the best drummer in the world, said he wasn't even the best drummer in the Beatles (actually that is probably apocryphal). But drummers are important and even cool, and none cooler than Honey Lantree. This is 1964 and women are not drummers.

The song itself is a piece of classic pre-lapsarian sixties pop produced by legend Joe Meek. Go Honey (especially from 1.27).

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