BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Dehn functions of solvable Lie groups [MPIM]
DTSTART:20260416T113000Z
DTEND:20260416T123000Z
DTSTAMP:20260418T103600Z
UID:indico-event-1209@math-events.uni-bonn.de
DESCRIPTION:Speakers: Gabriel Pallier (University of Lille)\n\nOberseminar
  Differentialgeometrie \nIn the seventees\, Herbert Abels studied the com
 pact presentability of solvable groups in order to establish criteria for 
 finite presentability of certain S-arithmetic groups. In the 2010s Cornuli
 er and Tessera revived Abel's theorems in a more quantitative way: they ga
 ve an algorithmic deciding whether the Dehn functions of solvable Lie grou
 ps is exponential or polynomially bounded. We will be interested in an eve
 n more precise question: in the case when the Dehn function is polynomiall
 y bounded\, what is its polynomial order? Making Cornulier-Tessera's theor
 ems more explicit\, we will see that it is estimated by that of the larges
 t nilpotent quotient. Finally we will show how Cornulier and Tessera's bou
 nd can be improved on the example of a central product of Abel's second gr
 oup and a filiform group of class three.\n \n \n \n\nhttps://math-event
 s.uni-bonn.de/event/1209/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1209/
END:VEVENT
END:VCALENDAR