Fri, 11 Aug 2017

13:00 - 14:00
C1

Invertible Topological Field Theories

Benedict Morrissey
(UPenn)
Abstract

Topological field theories (TFT's) are physical theories depending only on the topological properties of spacetime as opposed to also depending on the metric of spacetime.  This talk will introduce topological field theories, and the work of Freed and Hopkins on how a class of TFT's called "invertible" TFT's describe certain states of matter, and are classified by maps of spectra.  Constructions of field theories corresponding to specific maps of spectra will be described.
 

Tue, 14 Nov 2017

16:00 - 17:00
L3

Spinning, stalling, and falling apart

Tony Royle
(The Open University)
Abstract

The birth of fixed-wing, powered flight in the first decade of the twentieth century brought with it significant potential for pilots to return to Earth by unintended, often fatal, means. I will discuss the nature of the contemporary mathematical and engineering debates associated with these facets of flight, and the practical steps taken to facilitate safer aircraft and more robust operating procedures.

Landon Clay, founder of the Clay Mathematics Institute and generous supporter of Oxford Mathematics

With the passing of Landon T. Clay on 29 July, Oxford Mathematics has lost a treasured friend whose committed support and generosity were key factors in the recent development of the Mathematical Institute. The support of Landon and his wife Lavinia was the indispensible mainstay of the project to create the magnificent new home for Oxford Mathematics in the Andrew Wiles Building; the building is a symbol of the enduring legacy of their insightful, incisive support for mathematics and science.

Measurement of Atmospheric Neutrino Oscillations at 6-56 GeV with IceCube DeepCore.
 Aartsen, M Ackermann, M Adams, J Aguilar, J Ahlers, M Ahrens, M Al Samarai, I Altmann, D Andeen, K Anderson, T Ansseau, I Anton, G Argüelles, C Auffenberg, J Axani, S Bagherpour, H Bai, X Barron, J Barwick, S Baum, V Bay, R Beatty, J Becker Tjus, J Becker, K BenZvi, S Berley, D Bernardini, E Besson, D Binder, G Bindig, D Blaufuss, E Blot, S Bohm, C Börner, M Bos, F Bose, D Böser, S Botner, O Bourbeau, J Bradascio, F Braun, J Brayeur, L Brenzke, M Bretz, H Bron, S Brostean-Kaiser, J Burgman, A Carver, T Casey, J Casier, M Cheung, E Chirkin, D Christov, A Clark, K Classen, L Coenders, S Collin, G Conrad, J Cowen, D Cross, R Day, M de André, J De Clercq, C DeLaunay, J Dembinski, H De Ridder, S Desiati, P de Vries, K de Wasseige, G de With, M DeYoung, T Díaz-Vélez, J di Lorenzo, V Dujmovic, H Dumm, J Dunkman, M Eberhardt, B Ehrhardt, T Eichmann, B Eller, P Evenson, P Fahey, S Fazely, A Felde, J Filimonov, K Finley, C Flis, S Franckowiak, A Friedman, E Fuchs, T Gaisser, T Gallagher, J Gerhardt, L Ghorbani, K Giang, W Glauch, T Glüsenkamp, T Goldschmidt, A Gonzalez, J Grant, D Griffith, Z Haack, C Hallgren, A Halzen, F Hanson, K Hebecker, D Heereman, D Helbing, K Hellauer, R Hickford, S Hignight, J Hill, G Hoffman, K Hoffmann, R Hokanson-Fasig, B Hoshina, K Huang, F Huber, M Hultqvist, K Hünnefeld, M In, S Ishihara, A Jacobi, E Japaridze, G Jeong, M Jero, K Jones, B Kalaczynski, P Kang, W Kappes, A Karg, T Karle, A Katz, U Kauer, M Keivani, A Kelley, J Kheirandish, A Kim, J Kim, M Kintscher, T Kiryluk, J Kittler, T Klein, S Kohnen, G Koirala, R Kolanoski, H Köpke, L Kopper, C Kopper, S Koschinsky, J Koskinen, D Kowalski, M Krings, K Kroll, M Krückl, G Kunnen, J Kunwar, S Kurahashi, N Kuwabara, T Kyriacou, A Labare, M Lanfranchi, J Larson, M Lauber, F Lennarz, D Lesiak-Bzdak, M Leuermann, M Liu, Q Lu, L Lünemann, J Luszczak, W Madsen, J Maggi, G Mahn, K Mancina, S Maruyama, R Mase, K Maunu, R McNally, F Meagher, K Medici, M Meier, M Menne, T Merino, G Meures, T Miarecki, S Micallef, J Momenté, G Montaruli, T Moore, R Moulai, M Nahnhauer, R Nakarmi, P Naumann, U Neer, G Niederhausen, H Nowicki, S Nygren, D Obertacke Pollmann, A Olivas, A O'Murchadha, A Palczewski, T Pandya, H Pankova, D Peiffer, P Pepper, J Pérez de Los Heros, C Pieloth, D Pinat, E Plum, M Price, P Przybylski, G Raab, C Rädel, L Rameez, M Rawlins, K Rea, I Reimann, R Relethford, B Relich, M Resconi, E Rhode, W Richman, M Robertson, S Rongen, M Rott, C Ruhe, T Ryckbosch, D Rysewyk, D Sälzer, T Sanchez Herrera, S Sandrock, A Sandroos, J Sarkar, S Satalecka, K Schlunder, P Schmidt, T Schneider, A Schoenen, S Schöneberg, S Schumacher, L Seckel, D Seunarine, S Soedingrekso, J Soldin, D Song, M Spiczak, G Spiering, C Stachurska, J Stamatikos, M Stanev, T Stasik, A Stettner, J Steuer, A Stezelberger, T Stokstad, R Stößl, A Strotjohann, N Sullivan, G Sutherland, M Taboada, I Tatar, J Tenholt, F Ter-Antonyan, S Terliuk, A Tešić, G Tilav, S Toale, P Tobin, M Toscano, S Tosi, D Tselengidou, M Tung, C Turcati, A Turley, C Ty, B Unger, E Usner, M Vandenbroucke, J Van Driessche, W van Eijndhoven, N Vanheule, S van Santen, J Vehring, M Vogel, E Vraeghe, M Walck, C Wallace, A Wallraff, M Wandler, F Wandkowsky, N Waza, A Weaver, C Weiss, M Wendt, C Werthebach, J Westerhoff, S Whelan, B Wiebe, K Wiebusch, C Wille, L Williams, D Wills, L Wolf, M Wood, J Wood, T Woolsey, E Woschnagg, K Xu, D Xu, X Xu, Y Yanez, J Yodh, G Yoshida, S Yuan, T Zoll, M Physical Review Letters volume 120 issue 7 071801-071801 (Feb 2018)

Knots and the nature of 3-dimensional space

It is an intriguing fact that the 3-dimensional world in which we live is, from a mathematical point of view, rather special. Dimension 3 is very different from dimension 4 and these both have very different theories from that of dimensions 5 and above. The study of space in dimensions 2, 3 and 4 is the field of low-dimensional topology, the research area of Oxford Mathematician Marc Lackenby.

Mon, 13 Nov 2017
16:00
L4

Existence of metrics maximizing the first eigenvalue on closed surfaces

Anna Siffert
(MPI Bonn)
Abstract

We prove that for closed surfaces of fixed topological type, orientable or non-orientable, there exists a unit volume metric, smooth away from finitely many conical singularities, that
maximizes the first eigenvalue of the Laplace operator among all unit volume metrics. The key ingredient are several monotonicity results, which have partially been conjectured to hold before. This
is joint work with Henrik Matthiesen.

Mon, 12 Feb 2018

16:00 - 17:00
L4

Estimates of the distance to the set of divergence free fields and applications to analysis of incompressible viscous flow problems

Sergey Repin
(University of Jyväskylä and Steklov Institute of Mathematics at St Petersburg)
Abstract

We discuss mathematical questions that play a fundamental role in quantitative analysis of incompressible viscous fluids and other incompressible media. Reliable verification of the quality of approximate solutions requires explicit and computable estimates of the distance to the corresponding generalized solution. In the context of this problem, one of the most essential questions is how to estimate the distance (measured in terms of the gradient norm) to the set of divergence free fields. It is closely related to the so-called inf-sup (LBB) condition or stability lemma for the Stokes problem and requires estimates of the LBB constant. We discuss methods of getting computable bounds of the constant and espective estimates of the distance to exact solutions of the Stokes, generalized Oseen, and Navier-Stokes problems.

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