Graded algebras and the Lagrange inversion formula (Vladimir Dotsenko)

Ciencias TVJue, diciembre 22, 2016 6:42pmURL:
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Graded algebras and the Lagrange inversion formula

Plática dada por Vladimir Dotsenko (Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional,CINVESTAV & Trinity College Dublín) en el evento Graded Algebras, Geometry and related Topics para celebrar el 60 aniversario de Adolfo Sánchez Valenzuela el jueves 17 de noviembre del 2016 en la Universidad Autónoma de Yucatán (UADY)

Abstract:
In 1960s, Jim Stasheff defined associahedra, remarkable CW-complexes that can encode a homotopically coherent notion of asso-ciativity. They have been realised as polytopes with integer coordinates inseveral diferent ways over the past few decades. I shall explain that therealisations of associahedra due to Loday lead to toric varieties of particu-lar merit. These varieties have been already studied by Escobar under thename “brick manifolds”, in the context of subword complexes for Coxetergroups. It turns out that they also arise as “wonderful models” in the senseof de Concini and Procesi for certain subspace arrangements. Guided bythat geometric picture, I shall argue that in some sense these varieties give a “noncommutative version” of Deligne-Mumford compactifications of modulispaces of genus zero curves with marked points, in particular they give riseto remarkable algebraic structures resembling cohomological eld theories ofKontsevich and Manin. This is a joint work with Sergey Shadrin and BrunoVallette.

Video de la plática
https://youtu.be/VFxHn9Y_Pxs

Foto de miniatura del video
https://goo.gl/photos/5FKc9RDLAoNzUzqy6

Cartel del evento Graded Algebras, Geometry and related Topics para celebrar el 60 aniversario de Adolfo Sánchez Valenzuela
https://goo.gl/photos/WqERMKZU7VBuJKSF6

Página del evento Graded Algebras, Geometry and related Topics para celebrar el 60 aniversario de Adolfo Sánchez Valenzuela
http://www.cimat.mx/~adolfofest/home.html

Otras pláticas del evento Graded Algebras, Geometry and related Topics para celebrar el 60 aniversario de Adolfo Sánchez Valenzuela
https://www.youtube.com/playlist?list=PLrg-5oUhFeiq1LsnCr-MSXmSyQBmm2aY9

Vladimir Dotsenko en The University of Dublin
https://www.tcd.ie/research/profiles/?profile=dotsenkv
http://www.maths.tcd.ie/~vdots/
http://www.maths.tcd.ie/~vdots/teaching.html

Vladimir Dotsenko en Landau Institute for Theoretical Physics
http://www.itp.ac.ru/en/persons/dotsenko-vladimir-stepanovich/

Vladimir Dotsenko en arXiv
https://arxiv.org/a/dotsenko_v_1.html

Vladimir Dotsenko en Mathematics Genealogy Project
http://www.genealogy.ams.org/id.php?id=105266

Vladimir Dotsenko en Google Scholar
https://scholar.google.com/citations?user=XS7xWOQAAAAJ&hl=en

Vladimir Dotsenko en ResearchGate
https://www.researchgate.net/profile/Vladimir_Dotsenko2

Vladimir Dotsenko en MathOverflow
https://mathoverflow.net/users/1306/vladimir-dotsenko

Otras pláticas de Vladimir Dotsenko
https://www.youtube.com/playlist?list=PLrg-5oUhFeirwhEGVCNte5Tb8066m7DLl

Pláticas de matemáticas en Ciencias TV
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