Generators of multiple t values, and alternating multiple zeta values

Contact: Pieter Moree (moree @ mpim-bonn.mpg.de)

Multiple zeta values, and their relatives including the multiple t values, are a prominent but mysterious class of real numbers, which appear in various areas from high energy physics and knot theory, to number theory and the periods of mixed Tate motives. I will review some work by Francis Brown, and some recent work by Takuya Murakami, on how to prove certain elements ζ(2's and 3's), and t(2's and 3's), generate the space of multiple zeta values. I will then extend Murakami's work to show t(1's and 2's) generate the space of multiple t values and alternating multiple zeta values, and explain some progress towards Saha's conjecture that t(1's and 2's, 2 or 3) are a basis for convergent MtV’s.