A database of basic numerical invariants of Hilbert modular surfaces
Assaf, E
Babei, A
Breen, B
Costa, E
Duque-Rosero, J
Horawa, A
Kieffer, J
Kulkarni, A
Molnar, G
Schiavone, S
Voight, J
Contemporary Mathematics
We're back with some helpful Fridays@2pm events in Week 2 and Week 3 of term! Both are in L1.
Join Prof. Dan Ciubotaru from 14:00-14:45 on Friday of Week 2 for Prelims / Part A revision.
Or come along to Prof. Dmitry Belyaev's session from 14:00-14:45 on Friday of Week 3 for Parts B and C / OMMS revision.
As always, tea/coffee and biscuits will be served afterwards.
Tue, 28 May 2024
13:00
13:00
L2
Disordered quantum critical fixed points from holography
Andrew Lucas
(Boulder )
Abstract
In this talk I will describe the systematic construction of strongly interacting RG fixed points with a finite disorder strength. Such random-field disorder is quite common in condensed matter experiment, necessitating an understanding of the effects of this disorder on the properties of such fixed points. In the past, such disordered fixed points were accessed using e.g. epsilon expansions in perturbative quantum field theory, using the replica method to treat disorder. I will show that holography gives an alternative picture for RG flows towards disordered fixed points. In holography, spatially inhomogeneous disorder corresponds to inhomogeneous boundary conditions for an asymptotically-AdS spacetime, and the RG flow of the disorder strength is captured by the solution to the Einstein-matter equations. Using this construction, we have found analytically-controlled RG fixed points with a finite disorder strength. Our construction accounts for, and explains, subtle non-perturbative geometric effects that had previously been missed. Our predictions are consistent with conformal perturbation theory when studying disordered holographic CFTs, but the method generalizes and gives new models of disordered metallic quantum criticality.
Welcome back to term, with Week 1 on the horizon and classes/lectures shortly to begin.
This can be a challenging term for some, with exams, presentations and vivas - so check out the details of our wonderful student welfare and support services, who have a range of workshops and groups on offer.
There are also some wonderful opportunities for further study, at home and abroad - see the 'Grad Study Adverts' section.
Opportunity for a PhD student to start between August this year and early next year at the University of Groningen in the Netherlands. The topic will be in discrete probability theory. Job listing here.
The listing includes a suggestion for a more specific direction (universality in random trees and graphs), but the supervisor is happy to find another suitable topic together with the candidate.
A range of workshops and groups are available to help you build skills to respond to the demands of life at university.
Here is the Trinity Term timetable for groups and workshops.
More information about the support services and its workshops and groups can be found here.
Thursday 25 April 2024
5-6pm Andrew Wiles Building, Mathematical Institute, Oxford
What do maypole dancing, grocery delivery, and the quadratic formula all have in common? The answer is: braids! In this talk Tara will explore how the ancient art of weaving strands together manifests itself in a variety of modern settings, both within mathematics and in our wider culture.
Utility indifference pricing with market incompleteness
Monoyios, M
Nonlinear Models in Mathematical Finance: New Research Trends in Option Pricing
67-100
(01 Apr 2008)