Thu, 02 Feb 2017
11:00
C4

Model Theoretic Aspects of Gelfand-Naimark duality.

Nicholas Wentzlaff-Eggebert
(Oxford)
Abstract


Abstract: We will consider a model theoretic approach to Gelfand-Naimark duality, from the point of view of (generalized) Zariski structures. In particular we will show quantifier elimination for compact Hausdorff spaces in the natural Zariski language. Moreover we may see a slightly unusual construction and tweak to the language, which improves stability properties of the structures.
 

Mon, 30 Jan 2017

16:00 - 17:00
C3

Cohomology of Varieties

Alex Torzewski
(Dept. Mathematics, University of Warwick)
Abstract

We outline what we expect from a good cohomology theory and introduce some of the most common cohomology theories. We go on to discuss what properties each should encode and detail attempts to fit them into a common framework. We build evidence for this viewpoint through several worked number theoretic examples and explain how many of the key conjectures in number theory fit into this theory of motives.

All mathematical models require information to make their predictions; to get something out, you have to put something  in. To predict how an earthquake propagates through the ground, you have to know the material properties of the subsurface rocks. To predict the weather at noon, you have to give the initial conditions at dawn. To predict the drag coefficient of an aircraft, you have to specify its shape.

In our latest Public Lecture Tim Harford, Financial Times columnist and presenter of Radio 4's "More or Less", argues that politicians, businesses and even charities have been poisoning the value of statistics and data. Tim will argue that we need to defend the value of good data in public discourse, and will suggest how to lead the defence of statistical truth-telling.

For details and notification of the live podcast on 8 February at 4pm please click here.

 

Astrophysical neutrinos and cosmic rays observed by IceCube
Ackermann, M Adams, J Sarkar, S Advances in Space Research volume 62 issue 10 2902-2930 (30 May 2017)
Wed, 01 Feb 2017

11:00 - 12:30
N3.12

General Amalgamation Theory

Felix Weitkaemper
(Univesity of Oxford)
Abstract

This talk will be on general amalgamation theory, covering ground from the 1950s to original research, with applications and examples from many different areas of mathematics and ranging from classical results to open problems.

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