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January 27, 2012
Friday, January 27
Algebra Seminar
Time: 14:40
Speaker: German Combariza (Western)
Title: "A few conjectures about multiple zeta values"
Room: MC 107

Abstract: Multiple zeta values (MZV) are the numbers defined by the convergent series of the form

ζ(s1,s2,...,sk)=n1>n2>...>nk>0{1/(ns11>...nskk)}

for si positive integers. For these real numbers there are some beautiful relations, some of them due to Euler, like ζ(2,1)=ζ(3) or ζ(2n)=qπ2n for q a rational number. In this lecture I will present some of the most famous conjectures about MZV and its relations. I will show how we try to see the truthfulness of this conjecture by looking at them until a small degree bounded by the capacity of the actual computers.