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DTSTART:20230312T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240122T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240122T153000
URL:https://uwaterloo.ca/pure-mathematics/events/special-colloquium-56
SUMMARY:Special Colloquium
CLASS:PUBLIC
DESCRIPTION:URI BADER\, THE WEIZMANN INSTITUTE\n\n\"COHOMOLOGY OF ARITHMETI
 C GROUPS\, HIGHER PROPERTY T AND SPECTRAL GAP\"\n\nGroups of matrices with
  integer entries\, aka arithmetic groups\, are\nprominent objects of mathe
 matics. From a geometric point of view\, they\nappear as the fundamental g
 roups of locally symmetric space.\nTopological invariants of such spaces c
 ould be seen as group\ninvariants and vice versa. In my talk I will relate
  this useful link\nbetween topology and arithmetics with the theory of uni
 tary\nrepresentations. More precisely\, I will focus on the cohomology of\
 narithmetic groups with unitary coefficients\, presenting a recent joint\n
 work with Roman Sauer which completely clarifies the theory in small\ndegr
 ees. By the end of the talk I will discuss the relation of the\nabove with
  the phenomenon of spectral gap and state various related\nconjectures. I 
 will make an effort to present the subject to a general\naudience.\n\nMC 5
 501
DTSTAMP:20260505T152544Z
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