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UID:20250802T181348EDT-3570xuTGMT@132.216.98.100
DTSTAMP:20250802T221348Z
DESCRIPTION:Anderson t-motives - a parallel world to abelian varieties\, in
  finite characteristic. \n\nFormally\, Anderson t-motives (generalizations
  of Drinfeld modules) are some modules over a ring of non-commutative poly
 nomials in two variables over a complete algebraically closed field of fin
 ite characteristic. Surprisingly\, it turns out that their properties are 
 very similar to the properties of abelian varieties (more exactly\, of abe
 lian varieties with multiplication by an imaginary quadratic field). For e
 xample\, we can define Tate modules of Anderson t-motives\, Galois action 
 on them\, lattices\, modular curves\, L-functions etc. Nevertheless\, this
  analogy is far to be complete. There is no functional equation for their 
 L-functions\; notion of the algebraic rank is not known yet\; 1 - 1 corres
 pondence between Anderson t-motives and lattices also is known only for Dr
 infeld modules. A survey of the theory of Anderson t-motives and statement
 s of some research problems will be given.\n
DTSTART:20190225T183000Z
DTEND:20190225T193000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Dmitry Logachev \, UFAM Manaus
URL:/mathstat/channels/event/dmitry-logachev-ufam-mana
 us-294928
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