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From coarea formula to level set differential equations


We present how the problem of coarea formula in the Heisenberg group leads us rather unexpectedly to a system of ``level set differential equations'', generated by a defining mapping of very low regularity. In this system we cannot write classical derivatives, since its formally associated vector field does not exist a priori. We solve this problem using tools from rough path theory, where a privileged role is played by the sewing lemma. These results have been obtained in collaboration with Dario Trevisan and Eugene Stepanov.
http://cvgmt.sns.it/seminar/544/
When
Wed Oct 12, 2016 3pm – 4pm Coordinated Universal Time
Where
Aula Seminari Dipartimento di Matematica di Pisa (map)