From Joseph Ayoub’s talk in the workshop last week “The conservativity conjecture for Chow motives in characteristic zero” ayoub-conservativity-conj-notes

More at Ayoub’s website

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# Periods in Number Theory, Algebraic Geometry and Physics

## Conservativity conjecture: Ayoub notes

## de Jeu talk tomorrow

## In other talks

## Motivic Galois group notes

## More What is (updated)

## 2:30 Tuesday Jan. 23 M. Bondarko Mixed motivic sheaves and weights for them

## Charlton noted slides

Trimester at the Hausdorff Institute of Mathematics in Bonn, Germany

From Joseph Ayoub’s talk in the workshop last week “The conservativity conjecture for Chow motives in characteristic zero” ayoub-conservativity-conj-notes

More at Ayoub’s website

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Rob de Jeu. Thursday, January 24, 14:30 @HIM

(Rob’s website)

Title: Tessellations, Bloch groups, homology groups

Abstract:

Let k be an imaginary quadratic number field with ring of integers R. We discuss how an ideal tessellation of hyperbolic 3-space on which GL_2(R) acts gives rise to an explicit element b of infinite order in the second Bloch group for k,

and hence to an element c in K_3^ind(k), which is cyclic of infinite order. The regulator of c equals -12 \zeta_k'(-1), and the Lichtenbaum conjecture for k at -1 implies that a generator of K_3^ind(k) can be obtained by dividing c by the

order of K_2(R).

This division could be carried out explicitly in several cases by dividing b in the second Bloch group. The most notable case is that of Q(\sqrt{-303}), where K_2(R) has order~22.

Tue 2:30: Mikhail Bondarko: “Mixed motivic sheaves and weights for them”

Wed 2:30 Dinakar Ramakrishnan: Rational points on Picard modular surfaces

(joint seminar of MPIM and HIM- Number Theory lunch seminar of MPIM)

*NB* Dinakar’s talk is not at HIM but at MPI (don’t find yourself on the wrong side of the tracks!)

Y. AndrĂ©: What is… a motivic Galois group notes

On S. Charlton’s talk last week entitled “Motivic MZV’s and the cyclic insertion conjecture”

charlton-slides-no-notes

charlton-slides-notes

You can find more at Charlton’s website