Observation of high-energy neutrinos from the Galactic plane.
IceCube Collaboration*† Abbasi, R Ackermann, M Adams, J Aguilar, J Ahlers, M Ahrens, M Alameddine, J Alves, A Amin, N Andeen, K Anderson, T Anton, G Argüelles, C Ashida, Y Athanasiadou, S Axani, S Bai, X Balagopal V, A Barwick, S Basu, V Baur, S Bay, R Beatty, J Becker, K Tjus, J Beise, J Bellenghi, C Benda, S BenZvi, S Berley, D Bernardini, E Besson, D Binder, G Bindig, D Blaufuss, E Blot, S Boddenberg, M Bontempo, F Book, J Borowka, J Böser, S Botner, O Böttcher, J Bourbeau, E Bradascio, F Braun, J Brinson, B Bron, S Brostean-Kaiser, J Burley, R Busse, R Campana, M Carnie-Bronca, E Chen, C Chen, Z Chirkin, D Choi, K Clark, B Clark, K Classen, L Coleman, A Collin, G Connolly, A Conrad, J Coppin, P Correa, P Cowen, D Cross, R Dappen, C Dave, P De Clercq, C DeLaunay, J López, D Dembinski, H Deoskar, K Desai, A Desiati, P de Vries, K de Wasseige, G DeYoung, T Diaz, A Díaz-Vélez, J Dittmer, M Dujmovic, H Dunkman, M DuVernois, M Ehrhardt, T Eller, P Engel, R Erpenbeck, H Evans, J Evenson, P Fan, K Fazely, A Fedynitch, A Feigl, N Fiedlschuster, S Fienberg, A Finley, C Fischer, L Fox, D Franckowiak, A Friedman, E Fritz, A Fürst, P Gaisser, T Gallagher, J Ganster, E Garcia, A Garrappa, S Gerhardt, L Ghadimi, A Glaser, C Glauch, T Glüsenkamp, T Goehlke, N Goldschmidt, A Gonzalez, J Goswami, S Grant, D Grégoire, T Griswold, S Günther, C Gutjahr, P Haack, C Hallgren, A Halliday, R Halve, L Halzen, F Minh, M Hanson, K Hardin, J Harnisch, A Haungs, A Helbing, K Henningsen, F Hettinger, E Hickford, S Hignight, J Hill, C Hill, G Hoffman, K Hoshina, K Hou, W Huang, F Huber, M Huber, T Hultqvist, K Hünnefeld, M Hussain, R Hymon, K In, S Iovine, N Ishihara, A Jansson, M Japaridze, G Jeong, M Jin, M Jones, B Kang, D Kang, W Kang, X Kappes, A Kappesser, D Kardum, L Karg, T Karl, M Karle, A Katz, U Kauer, M Kellermann, M Kelley, J Kheirandish, A Kin, K Kiryluk, J Klein, S Kochocki, A Koirala, R Kolanoski, H Kontrimas, T Köpke, L Kopper, C Kopper, S Koskinen, D Koundal, P Kovacevich, M Kowalski, M Kozynets, T Krupczak, E Kun, E Kurahashi, N Lad, N Gualda, C Lanfranchi, J Larson, M Lauber, F Lazar, J Lee, J Leonard, K Leszczyńska, A Li, Y Lincetto, M Liu, Q Liubarska, M Lohfink, E Mariscal, C Lu, L Lucarelli, F Ludwig, A Luszczak, W Lyu, Y Ma, W Madsen, J Mahn, K Makino, Y Mancina, S Mariş, I Martinez-Soler, I Maruyama, R McHale, S McElroy, T McNally, F Mead, J Meagher, K Mechbal, S Medina, A Meier, M Meighen-Berger, S Merckx, Y Micallef, J Mockler, D Montaruli, T Moore, R Morik, K Morse, R Moulai, M Mukherjee, T Naab, R Nagai, R Nahnhauer, R Naumann, U Necker, J Nguyen, L Niederhausen, H Nisa, M Nowicki, S Nygren, D Pollmann, A Oehler, M Oeyen, B Olivas, A O'Sullivan, E Pandya, H Pankova, D Park, N Parker, G Paudel, E Paul, L de Los Heros, C Peters, L Peterson, J Philippen, S Pieper, S Pizzuto, A Plum, M Popovych, Y Porcelli, A Rodriguez, M Pries, B Przybylski, G Raab, C Rack-Helleis, J Raissi, A Rameez, M Rawlins, K Rea, I Rechav, Z Rehman, A Reichherzer, P Reimann, R Renzi, G Resconi, E Reusch, S Rhode, W Richman, M Riedel, B Roberts, E Robertson, S Roellinghoff, G Rongen, M Rott, C Ruhe, T Ryckbosch, D Cantu, D Safa, I Saffer, J Salazar-Gallegos, D Sampathkumar, P Herrera, S Sandrock, A Santander, M Sarkar, S Satalecka, K Schaufel, M Schieler, H Schindler, S Schmidt, T Schneider, A Schneider, J Schröder, F Schumacher, L Schwefer, G Sclafani, S Seckel, D Seunarine, S Sharma, A Shefali, S Shimizu, N Silva, M Skrzypek, B Smithers, B Snihur, R Soedingrekso, J Sogaard, A Soldin, D Spannfellner, C Spiczak, G Spiering, C Stamatikos, M Stanev, T Stein, R Stettner, J Stezelberger, T Stokstad, B Stürwald, T Stuttard, T Sullivan, G Taboada, I Ter-Antonyan, S Thwaites, J Tilav, S Tischbein, F Tollefson, K Tönnis, C Toscano, S Tosi, D Trettin, A Tselengidou, M Tung, C Turcati, A Turcotte, R Turley, C Twagirayezu, J Ty, B Elorrieta, M Valtonen-Mattila, N Vandenbroucke, J van Eijndhoven, N Vannerom, D van Santen, J Veitch-Michaelis, J Verpoest, S Walck, C Wang, W Watson, T Weaver, C Weigel, P Weindl, A Weiss, M Weldert, J Wendt, C Werthebach, J Weyrauch, M Whitehorn, N Wiebusch, C Willey, N Williams, D Wolf, M Wrede, G Wulff, J Xu, X Yanez, J Yildizci, E Yoshida, S Yu, S Yuan, T Zhang, Z Zhelnin, P Science (New York, N.Y.) volume 380 issue 6652 1338-1343 (29 Jun 2023)
Randomized low-rank approximation for symmetric indefinite matrice
Park, T Nakatsukasa, Y SIAM Journal on Matrix Analysis and Applications volume 44 issue 3 1370 (08 Oct 2023)
Nonlinear degenerate cross-diffusion systems with nonlocal interaction
Di Francesco, M Esposito, A Fagioli, S (04 Oct 2017)
Measure solutions to a system of continuity equations driven by Newtonian nonlocal interactions
Carrillo, J Di Francesco, M Esposito, A Fagioli, S Schmidtchen, M (24 Oct 2018)
A posteriori error estimates for fully coupled McKean–Vlasov forward-backward SDEs
Reisinger, C Stockinger, W Zhang, Y IMA Journal of Numerical Analysis (15 Sep 2023)
Bound-Preserving Finite-Volume Schemes for Systems of Continuity Equations with Saturation
Bailo, R Carrillo, J Hu, J SIAM Journal on Applied Mathematics volume 83 issue 3 1315-1339 (30 Jun 2023)
The infinitesimal model with dominance
Barton, N Etheridge, A Veber, A Genetics volume 225 issue 2 (14 Jul 2023)
Tue, 04 Jul 2023
16:00
Lecture Theatre 2

LMS Hardy Lecture Tour 2023: Eva Miranda (UPC Barcelona) - Singular Hamiltonian and Reeb Dynamics: First steps

Eva Miranda
(UPC Barcelona)
Abstract

Floer theory, which mimics an infinite dimensional Morse approach to the study of critical points of smooth functions, appeared as an attempt to prove Arnold conjecture. The theory is more or less well understood in some compact cases.

Non-compact symplectic manifolds can sometimes be compactified as singular symplectic manifolds where the symplectic form "blows up" along a hypersurface in a controlled way (b^m-symplectic manifolds). In natural examples in Celestial mechanics such as the 3-body problem, these compactifications are given by regularization transformations à la Moser/Mc Gehee etc.

I will use the theory of b^m-symplectic/b^m-contact manifolds (introduced by Scott, Guillemin-Miranda Weitsman, and Miranda-Oms) as a guinea pig to propose ways to extend the study of Hamiltonian/Reeb Dynamics to singular symplectic/contact manifolds. This, in particular, yields new results for non-compact symplectic manifolds and for special (but, yet, meaningful) classes of Poisson manifolds.

Inspiration comes from several results extending the Weinstein conjecture to the context of b^m-contact manifolds and its connection to the study of escape orbits in Celestial mechanics and Fluid Dynamics. Those examples motivate a model for (singular) Floer homology.

I'll describe the motivating examples/results and some ideas to attack the general questions.

The Hardy Lectureship was founded in 1967 in memory of G.H. Hardy (LMS President 1926-1928 & 1939-1941). The Hardy Lectureship is a lecture tour of the UK by a mathematician with a high reputation in research.

Preconditioners for computing multiple solutions in three-dimensional fluid topology optimization
Papadopoulos, I Farrell, P SIAM Journal on Scientific Computing volume 45 issue 6 B853-B883 (29 Nov 2023)
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