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SUMMARY:ArpiLYSM3: VERSUS\, oppositions in Mathematics and more
DTSTART:20261115T170000Z
DTEND:20261120T130000Z
DTSTAMP:20260727T173700Z
UID:indico-event-17009@indico.math.cnrs.fr
DESCRIPTION:\n\nThe aim of the school is to consider multidisciplinary asp
 ects inside Mathematics. In many situations\, mathematical concepts appear
  in different paradigms.\nThese offers different point of views which dese
 rve to be compared with rispect to their analogies and differences. These 
 comparisons involve usually different extra-mathematics fields such as Phy
 sics\, Biology\, Economics\, Social Sciences\, etc. that will be handled 
 in this school. \n \nThe main streams  considered will include: \n\n- 
 Typical vs. Untypical: a journey through large deviations\, by Raphaël Ch
 étrite\n\n\nThis course introduces the basic theory of large deviations a
 nd its main mathematical tools. It also presents applications to interacti
 ng particle systems\, highlighting how large deviation principles provide 
 a powerful framework for studying nonequilibrium phenomena.\n\n\n- ODEs vs
 . PDEs: the large number agent systems\, by Stefano Rossi\n\n\nThis course
  discusses the rigorous derivation of effective kinetic PDEs starting from
  the dynamics of N particles described by a system of ODEs and  the compa
 rison between the behavior of finite and  infinite-particle sytems\,  wi
 th regard to long-time behavior and the emergence of irreversibility.\n  
 - Quantum vs. Classical optimal transport: quantizing Wasserstein\, by Thi
 erry Paul.\nIn this course\, we show how most concepts from (classical) op
 timal transport find their quantum counterparts in quantum mechanics throu
 gh a “canonical” quantization of the Wasserstein distance. These conce
 pts include Brenier’s theorem\, bipartite matching\, and Kantorovich dua
 lity.\n    - Human vs. Artificial Intelligence : to think or to use\, by
  Alberto Fachechi (TBC)\n    - Finite vs. infinite dimension integrabil
 ity\, between geometry and analysis\,\, by Lorenzo Baroni.\n \ntogether w
 ith many talks by  the participants.\n \n     \n \n \n\n \n\n   
        Raphaël Chétrite\, Thierry Paul\, and Stefano Rossi\, orgs.\n
  \n \nTo register please contact one of the organizers at\nraphael.chetr
 ite@univ-cotedazur.fr\, thierry.paul@cnrs.fr or stefano.rossi2@uniroma1.it
 \n \n\n\nhttps://indico.math.cnrs.fr/event/17009/
IMAGE;VALUE=URI:https://indico.math.cnrs.fr/event/17009/logo-4244649301.pn
 g
LOCATION:Hotel Il Cavalier D'Arpino (Arpino)
URL:https://indico.math.cnrs.fr/event/17009/
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