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UID:20260623T192521EDT-78591PV5dv@132.216.98.100
DTSTAMP:20260623T232521Z
DESCRIPTION:Title: Surjectivity of random integral matrices on integral vec
 tors\n\nAbstract: A random nxm matrix gives a random linear transformation
 \n	from \Z^m to \Z^n (between vectors with integral coordinates). Asking\n	f
 or the probability that such a map is injective is a question of the\n	non-
 vanishing of determinants. In this talk\, we discuss the\n	probability that
  such a map is surjective\, which is a more subtle\n	integral question. We 
 show that when m=n+u\, for u at least 1\, as n\n	goes to infinity\, the sur
 jectivity probability is a non-zero product\n	of inverse values of the Riem
 ann zeta function. This probability is\n	universal\, i.e. we prove that it 
 does not depend on the distribution\n	from which you choose independent ent
 ries of the matrix. This talk is\n	on joint work with Hoi Nguyen.\n
DTSTART:20191023T190000Z
DTEND:20191023T200000Z
LOCATION:Room 1205\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Melanie Matchett Wood (UC Berkeley)
URL:/mathstat/channels/event/melanie-matchett-wood-uc-
 berkeley-301753
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