This is the continuation of the Fall 2005 learning seminar on motives and the Spring 2006 Motives-Arithmetic-Physics Seminar.

The preceeding seminars are not prerequisites and everyone is welcome to attend. We meet Fridays 2-4 in MCS 180.

This semester we will be particularly focusing on Mixed Tate motives and the work of Goncharov, but tangents are always appreciated.

- Sept 15
- David Fried, Deligne-Goncharov (ref. 1), I
- Sept 22
- Karen Yeats, Hodge realizations. (see refs 7, 8 and chapter 22 of 9)
- Sept 29
- Karen Acquista, Goncharov's Galois Symmetries ... (ref 2), I
- Oct 6
- Karen Acquista, Goncharov's Galois Symmetries ... (ref 2), II
- Oct 13
- Karen Yeats, Bloch-Kriz style mixed tate motives. (ref 5)
- Oct 20
- Dirk Kreimer, Limiting mixed Hodge Structures and iterated Feynman graphs. (ref 10 and 11)
- Oct 27
- David Fried, Hyperbolic geometry and motives. (ref 3)
- Nov 3
- Karen Yeats, Francis Brown's thesis. (ref 6, see also ref 13). We'll end a bit early so that people can leisurely get to Noriko Yui's talk in the Geometry Seminar.
- Nov 17
*Cancelled on account of Current Developments in Mathematics*.- Dec 1
*Cancelled*.- Dec 8
- Karen Acquista, motivic complexes. (see refs 13 (motivic complexes), 14, 15 (two papers for the future), and 16 (K-theory))

- Pierre Deligne and Alexander B. Goncharov,
*Groupes fondamentaux motiviques de Tate mixte*. Ann. Scient. Éc. Norm. Sup.**38**no 1, (2005) 1-56 (also arXiv:math.NT/0302267). - Goncharov,
*Galois symmetries of fundamental groupoids and noncommutative geometry* - Goncharov,
*Volumes of hyperbolic manifolds and mixed Tate motives* - Goncharov and Manin,
*Multiple zeta-motives and moduli spaces M*_{0,n} - Bloch and Kriz,
*Mixed Tate motives* - Francis Brown's thesis, arXiv:math.AG/0606419
- Luca Barbieri-Viale,
*On the theory of 1-motives*, arXiv:math.AG/0502476 - Annette Huber,
*Realization of Voevodsky's motives*, J. Alg. Geom.**9**(2000) 755-799, Corregendum, J. Alg. Geom.**13**(2004), 195-207 - Yves André,
*Une introduction aux motifs: motifs purs, motifs mixtes, périodes*, Panoramas et Synthèses**17**(2004) - Dirk Kreimer,
*The residues of quantum field theory - numbers we should know*, arXiv:hep-th/0404090, and in "Noncommutative Geometry and Number Theory", C.Consani, M.Marcolli, eds., p187-204 - Spencer Bloch,
*Motives associated to graphs* - Marc Levine,
*Mixed motives and homotopy theory of schemes III: Lecture 3. Mixed Tate Motives*Talk at the Asian-French Summer School in Algebraic Geometry and Number Theory, IHÉS, July 17-29, 2006. - Francis Brown,
*Multiple polylogarithms and periods of moduli spaces M*Talk at "Théorie des champs, périodes et polylogarithmes", IHÉS, June 12-16, 2006._{0,n} - Lichtenbaum,
*Values of zeta-functions at non-negative integers*. - Kapranov,
*Double affine Hecke algebras and 2-dimensional local fields*. - Fesenko,
*Analysis on arithmetic schemes* - Kahn,
*Algebraic K-theory, algebraic cycles, and arithmetic geometry*.