The Erdős primitive set conjecture

A set of integers greater than 1 is primitive if no number in the set divides another. Erdős proved in 1935 that the series of $1/(n \log n)$ for $n$ running over a primitive set A is universally bounded over all choices of A. In 1988 he conjectured that the universal bound is attained for the set of prime numbers. In this research case study, Oxford's Jared Duker Lichtman describes recent progress towards this problem:

Faster algorithms for Markov equivalence
 Hu, Z Evans, R Proceedings of the 36th Conference on Uncertainty in Artificial Intelligence, UAI 2020 759-768 (01 Jan 2020)

Oxford Mathematics Online Exhibition 2020

Alongside the mathematics, the Andrew Wiles Building, home to Oxford Mathematics, has always been a venue for art, whether on canvas, sculpture, photography or even embedded in the maths itself.

However, lockdown has proved especially challenging for the creative arts with venues shut. Many have turned to online exhibitions and we felt that not only should we do the same but by so doing we could stress the connection between art and science and how both are descriptions of our world.

Using information theory to optimise epidemic models for real-time prediction and estimation
 Parag, K Donnelly, C PLOS Computational Biology volume 16 issue 7 e1007990 (01 Jul 2020)
Suppression of a SARS-CoV-2 outbreak in the Italian municipality of Vo’
 Lavezzo, E Franchin, E Ciavarella, C Cuomo-Dannenburg, G Barzon, L Del Vecchio, C Rossi, L Manganelli, R Loregian, A Navarin, N Abate, D Sciro, M Merigliano, S De Canale, E Vanuzzo, M Besutti, V Saluzzo, F Onelia, F Pacenti, M Parisi, S Carretta, G Donato, D Flor, L Cocchio, S Masi, G Sperduti, A Cattarino, L Salvador, R Nicoletti, M Caldart, F Castelli, G Nieddu, E Labella, B Fava, L Drigo, M Gaythorpe, K Brazzale, A Toppo, S Trevisan, M Baldo, V Donnelly, C Ferguson, N Dorigatti, I Crisanti, A Nature volume 584 issue 7821 425-429 (20 Aug 2020)
Measurements of the Time-Dependent Cosmic-Ray Sun Shadow with Seven
Years of IceCube Data -- Comparison with the Solar Cycle and Magnetic Field
Models
 Aartsen, M Abbasi, R Ackermann, M Adams, J Aguilar, J Ahlers, M Ahrens, M Alispach, C Amin, N Andeen, K Anderson, T Ansseau, I Anton, G Argüelles, C Auffenberg, J Axani, S Bagherpour, H Bai, X V, A Barbano, A Barwick, S Bastian, B Basu, V Baum, V Baur, S Bay, R Beatty, J Becker, K Tjus, J BenZvi, S Berley, D Bernardini, E Besson, D Binder, G Bindig, D Blaufuss, E Blot, S Bohm, C Böser, S Botner, O Böttcher, J Bourbeau, E Bourbeau, J Bradascio, F Braun, J Bron, S Brostean-Kaiser, J Burgman, A Buscher, J Busse, R Carver, T Chen, C Cheung, E Chirkin, D Choi, S Clark, B Clark, K Classen, L Coleman, A Collin, G Conrad, J Coppin, P Correa, P Cowen, D Cross, R Dave, P Clercq, C DeLaunay, J Dembinski, H Deoskar, K Ridder, S Desai, A Desiati, P Vries, K Wasseige, G With, M DeYoung, T Dharani, S Diaz, A Díaz-Vélez, J Dujmovic, H Dunkman, M DuVernois, M Dvorak, E Ehrhardt, T Eller, P Engel, R Evenson, P Fahey, S Fazely, A Felde, J Fichtner, H Fienberg, A Filimonov, K Finley, C Fox, D Franckowiak, A Friedman, E Fritz, A Gaisser, T Gallagher, J Ganster, E Garrappa, S Gerhardt, L Ghadimi, A Glauch, T Glüsenkamp, T Goldschmidt, A Gonzalez, J Goswami, S Grant, D Grégoire, T Griffith, Z Griswold, S Günder, M Gündüz, M Haack, C Hallgren, A Halliday, R Halve, L Halzen, F Hanson, K Hardin, J Haungs, A Hauser, S Hebecker, D Heereman, D Heix, P Helbing, K Hellauer, R Henningsen, F Hickford, S Hignight, J Hill, C Hill, G Hoffman, K Hoffmann, R Hoinka, T Hokanson-Fasig, B Hoshina, K Huang, F Huber, M Huber, T Hultqvist, K Hünnefeld, M Hussain, R In, S Iovine, N Ishihara, A Jansson, M Japaridze, G Jeong, M Jones, B Jonske, F Joppe, R Kang, D Kang, W Kappes, A Kappesser, D Karg, T Karl, M Karle, A Katz, U Kauer, M Kellermann, M Kelley, J Kheirandish, A Kim, J Kin, K Kintscher, T Kiryluk, J Kittler, T Kleimann, J Klein, S Koirala, R Kolanoski, H Köpke, L Kopper, C Kopper, S Koskinen, D Koundal, P Kowalski, M Krings, K Krückl, G Kulacz, N Kurahashi, N Kyriacou, A Lanfranchi, J Larson, M Lauber, F Lazar, J Leonard, K Leszczyńska, A Li, Y Liu, Q Lohfink, E Mariscal, C Lu, L Lucarelli, F Ludwig, A Lünemann, J Luszczak, W Lyu, Y Ma, W Madsen, J Maggi, G Mahn, K Makino, Y Mallik, P Mancina, S Mariş, I Maruyama, R Mase, K Maunu, R McNally, F Meagher, K Medici, M Medina, A Meier, M Meighen-Berger, S Merz, J Meures, T Micallef, J Mockler, D Momenté, G Montaruli, T Moore, R Morse, R Moulai, M Muth, P Nagai, R Naumann, U Neer, G Nguyen, L Niederhausen, H Nisa, M Nowicki, S Nygren, D Pollmann, A Oehler, M Olivas, A O'Murchadha, A O'Sullivan, E Pandya, H Pankova, D Park, N Parker, G Paudel, E Peiffer, P Heros, C Philippen, S Pieloth, D Pieper, S Pinat, E Pizzuto, A Plum, M Popovych, Y Porcelli, A Rodriguez, M Price, P Przybylski, G Raab, C Raissi, A Rameez, M Rauch, L Rawlins, K Rea, I Rehman, A Reimann, R Relethford, B Renschler, M Renzi, G Resconi, E Rhode, W Richman, M Riedel, B Robertson, S Roellinghoff, G Rongen, M Rott, C Ruhe, T Ryckbosch, D Cantu, D Safa, I Herrera, S Sandrock, A Sandroos, J Santander, M Sarkar, S Satalecka, K Scharf, M Schaufel, M Schieler, H Schlunder, P Schmidt, T Schneider, A Schneider, J Schröder, F Schumacher, L Sclafani, S Seckel, D Seunarine, S Shefali, S Silva, M Smithers, B Snihur, R Soedingrekso, J Soldin, D Song, M Spiczak, G Spiering, C Stachurska, J Stamatikos, M Stanev, T Stein, R Stettner, J Steuer, A Stezelberger, T Stokstad, R Strotjohann, N Stürwald, T Stuttard, T Sullivan, G Taboada, I Tenholt, F Ter-Antonyan, S Terliuk, A Tilav, S Tollefson, K Tomankova, L Tönnis, C Toscano, S Tosi, D Trettin, A Tselengidou, M Tung, C Turcati, A Turcotte, R Turley, C Ty, B Unger, E Elorrieta, M Usner, M Vandenbroucke, J Driessche, W Eijk, D Eijndhoven, N Vannerom, D Santen, J Verpoest, S Vraeghe, M Walck, C Wallace, A Wallraff, M Watson, T Weaver, C Weindl, A Weiss, M Weldert, J Wendt, C Werthebach, J Whelan, B Whitehorn, N Wiebe, K Wiebusch, C Williams, D Wills, L Wolf, M Wood, T Woschnagg, K Wrede, G Wulff, J Xu, X Xu, Y Yanez, J Yoshida, S Yuan, T Zhang, Z Zöcklein, M Physical Review D: Particles, Fields, Gravitation and Cosmology volume 103 issue 4 (08 Feb 2021) http://arxiv.org/abs/2006.16298v1
Thu, 02 Jul 2020

16:00 - 17:30
Virtual

John Roe and Course Geometry

Nigel Higson
(Penn State University)
Abstract

Abstract: John Roe was a much admired figure in topology and noncommutative geometry, and the creator of the C*-algebraic approach to coarse geometry. John died in 2018 at the age of 58. My aim in the first part of the lecture will be to explain in very general terms the major themes in John’s work, and illustrate them by presenting one of his best-known results, the partitioned manifold index theorem. After the break I shall describe a later result, about relative eta invariants, that has inspired an area of research that is still very active.


Assumed Knowledge: First part: basic familiarity with C*-algebras, plus a little topology. Second part: basic familiarity with K-theory for C*-algebras.

Further Information

Part of UK virtual operator algebra seminar: https://sites.google.com/view/uk-operator-algebras-seminar/home

Subscribe to