ICTP Mathematics Seminar - Wednesday 13 February, at 14:30 (Mauricio GODOY MOLINA)

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2019


Wednesday 13 February, at 14:30 hrs.


Mauricio Godoy Molina (Universidad de la Frontera, Chile)


Title: Rigidity of 2-step Carnot groups


Abstract: The problem of understanding the global symmetries of 
non-holonomic mechanical systems is quite difficult. One possible 
approach to tackle the problem from an algebraic point of view was 
proposed by N. Tanaka in the 70s, through the process known as (Tanaka) 
prolongation. The output of the prolongation is a graded Lie algebra, 
whose dimension is an upper bound for the dimension of the space of 
symmetries. A system is called rigid if its prolongation is finite 
dimensional. In this talk, I will show the generic rigidity of a wide 
class of non-holonomic systems of step 2 (so-called Carnot groups). This 
result was obtained in joint work with B. Kruglivok (Tromsø), I. Markina 
and A. Vasil'ev (Bergen).


VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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