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SUMMARY:Irina Markina (University of Bergen)
DTSTART:20260709T083000Z
DTEND:20260709T091500Z
DTSTAMP:20260615T172511Z
UID:ams-msc-30c/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ams-msc-30c/
 12/">Sub-Riemannian geometry in a nutshell: history and modern problems</a
 >\nby Irina Markina (University of Bergen) as part of Geometric Function T
 heory\n\nInteractive livestream: https://ysu.zoom.us/j/87173350838?pwd=8xM
 cDfjjJCYnHVS8mwkx95wFUOC0Hc.1\nLecture held in A. Shahinyan auditorium\, Y
 SU Faculty of Mathematics and Mechanics\, Yerevan\, Armenia.\n\nAbstract\n
 Sub-Riemannian geometry studies spaces where motion is restricted to certa
 in directions\, generalizing Riemannian geometry. It grew out of 19th-cent
 ury work by Carathéodory and later developments by Chow\, Rashevsky\, and
  Hörmander\, with links to control theory and analysis.\n\nThis talk will
  briefly review the main ideas and classical results\, including the Chow
 –Rashevsky theorem and basic examples arising from group theory\, classi
 cal mechanics\, and mathematical physics. I will then discuss current topi
 cs related to the regularity and uniqueness of geodesics\, including the r
 ole and structure of abnormal minimizers\, the definition and understandin
 g of curvature in the absence of a full Riemannian metric\, and questions 
 in metric geometry.\n
LOCATION:https://researchseminars.org/talk/ams-msc-30c/12/
URL:https://ysu.zoom.us/j/87173350838?pwd=8xMcDfjjJCYnHVS8mwkx95wFUOC0Hc.1
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