Motivic Multiple Zeta Values

Multiple Zeta Values - Math

We study the depth filtration on motivic multiple zeta values, and its relation to modular forms. Using period polynomials for cusp forms for PSL_2(Z), we construct an explicit Lie algebra of solutions to the linearized double shuffle equations over the in. . .

Depth-graded motivic multiple zeta values - Internet

Lab multiple zeta values Skip the The intricate combinatorics of these becomes often more tractable when re-expressing them as motivic multiple zeta values.

Multiple Zeta Values - mathsduracuk

I will sketch the definition of motivic multiple zeta values, which can be viewed as a prototype of a Galois theory for certain transcendental numbers,

Motivic multiple zeta values and superstring amplitudes

Abstract: The structure of tree-level open and closed superstring amplitudes is analyzed. For the open superstring amplitude we find a striking and elegant form, which allows to disentangle its alpha'-expansion into several contributions accounting for different classes of multiple zeta values.

Motivic Multiple Zeta Values

Francis Brown, Multiple Zeta Values - YouTube

We review motivic aspects of multiple zeta values, and as an application, we give an exact-numerical algorithm to decompose any (motivic) multiple zeta value of given weight into a chosen basis up to that weight.

Research - Steven Charlton - Universitbingen

We study the depth filtration on motivic multiple zeta values, and its relation to modular forms. Using period polynomials for cusp forms for PSL_2(Z), we. . .

REFERENCES ON MULTIPLE ZETA VALUES AND EULER

Schlotterer Oliver (AEI, Golm) ConfPierre Vanhove, (IPhT/CEA …

Depth-graded motivic multiple zeta values - Open

DECOMPOSITION OF ELLIPTIC MULTIPLE ZETA VALUES AND ITERATED EISENSTEIN INTEGRALS for motivic multiple zeta values, the DECOMPOSITION OF ELLIPTIC MULTIPLE ZETA

Depth-graded motivic multiple zeta values - CORE

Idea. Where a zeta function and multiple zeta function may be assigned to a suitable variety, so a motivic multiple zeta function is attached to the corresponding motive, like a motivic L-function is.

Evaluation of the multiple zeta values (2, ,2,3,2, ,2)

ade recently on motivic zeta values. 3/75 The product of two multiple zeta values is a linear combination of multiple zeta values. Hence,

Motivic Multiple Zeta Values and Superstring

Motivic multiple zeta values and superstring amplitudes O Schlotterer1 and S Stieberger2 1 Max-Planck-Institut fur Gravitationsphysik, Albert-Einstein-Institut,

THE DEPTH STRUCTURE OF MOTIVIC MULTIPLE ZETA VALUES

On the decomposition of motivic multiple zeta values, Mixed Tate motives over Z, Depth-graded motivic multiple zeta values,

-adic multiple zeta values II Tannakian interpretations

We review motivic aspects of multiple zeta values, and as an application, we give an exact-numerical algorithm to decompose any (motivic) multiple zeta value of given weight into a chosen basis up to that weight

On the decomposition of motivic multiple zeta values

Abstract The structure of tree-level open and closed superstring amplitudes is analyzed. For the open superstring amplitude we find a striking and elegant form, which allows one to disentangle its α‧-expansion into several contributions accounting for different classes of multiple zeta values.

AUTHORS OF REFERENCES ON MULTIPLE ZETA VALUES

Motivic) multiple zeta values, the block decomposition, and cyclic insertion Steven Charlton 20 October 2015 The title is quite ambitious. I’m probably going to spend a lot of time talking rst about the

On the decomposition of motivic multiple zeta values

Cyclotomic multiple zeta values (CMZV) are particularly interesting examples of periods (in the sens of Kontsevich-Zagier) and a fruitful recent approach is to look at their motivic version (MCMZV), which are motivic periods of the fundamental groupoid of $\mathbb{P}^{1}\diagup \left\lbrace 0, \mu_{N} , \infty ight brace$.

SINGLE-VALUED MOTIVIC PERIODS AND MULTIPLE ZETA VALUES

-adic multiple zeta values to be special values of p-adic multiple poly- of motivic fundamental groups of the projective line minus three points. In

Elliptic multiple zeta values and one-loop superstring

Motivic periods and P1\{0,1,∞} Francis Brown Abstract. This is a review of the theory of the motivic fundamental group of the projective line minus three points, and its relation to multiple zeta values.

Motivic multiple zeta values and superstring amplitudes

nd multiple zeta values Leila Schneps MIT, November 5-9, 2012 Lecture 4A The “absolute Galois” Lie algebra, for this motivic multiple zeta; for example