![]() |
COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. | ![]() |
University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > A lower bound of a sub-quotient of the Lie algebra associated to Grothendieck-Teichmller group
A lower bound of a sub-quotient of the Lie algebra associated to Grothendieck-Teichmller groupAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Mustapha Amrani. This talk has been canceled/deleted We show that the filtration given by the central descending series of the commutator of the free Lie algebra on two generators x,y induces by a filtration of the graded Lie algebra grt_1 associated to the Grothendieck-Teichmller group. The degree 0 part of the associated graded space has already been computed (by the collaborator of the author). We get here a lower bound for the degree 1 part; more precisely, this graded space splits into a sum of homogeneous components, on which we get a filtration and we give a lower bound for the dimensions of each sub-quotient. The proof uses the construction of a vector space included in certain Lie sub-algebras of extensions between abelian Lie algebras, and reduces the problem to a question of commutative algebras, which is treated with invariant theory and results of Ihara, Takao, and Schneps on the quadratic relations between elements of the degree 1 part associated to grt_1 for the depth filtration (corresponding to the y-degree). As a corollary, we give another proof of a statement of Ecalle describing the sub-space of the degree 2 part of the same graded space. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:This talk is not included in any other list Note that ex-directory lists are not shown. |
Other listsFriends of the Sedgwick Museum Maths Computing and IT Events Cambridge Neuroscience Seminar: New Approaches in Neuroscience Explore Islam Week 2014 (EIW) Critical Theory and Practice Seminar Meeting the Challenge of Healthy Ageing in the 21st CenturyOther talksHow to Deploy Psychometrics Successfully in an Organisation Hornby Model Railways Bears, Bulls and Boers: Market Making and Southern African Mining Finance, 1894-1899 Finding the past: Medieval Coin Finds at the Fitzwilliam Museum Richard Horton (The Lancet Cheif Editor): Scientific Publishing Primary liver tumor organoids: a new pre-clinical model for drug sensitivity analysis Disease Migration LARMOR LECTURE - Exoplanets, on the hunt of Universal life Towards bulk extension of near-horizon geometries A polyfold lab report Market Socialism and Community Rating in Health Insurance Beyond crazy: Rationality, irrationality, and conspiracy theory |