4,707 reputation
2735
bio website buddha239.livejournal.com
location St. Petersburg (Russia)
age 37
visits member for 4 years, 9 months
seen 10 hours ago
I am a professor in St. Petersburg State University. I have several papers on (additive Galois module structure of) local fields, formal groups, and finite group schemes. Currently I am studying Voevodsky's motives and their cohomology. In the process I introduced the notion of a weight structure for a triangulated category; this seems to be an interesting piece of homological algebra (that possibly could be applied to algebraic topology). See http://arxiv.org/abs/0903.0091 for a survey of some of my recent results. You can send me letters to mbondarko gmail.com. In particular, if you answered one of my questions, please tell me how can I mention you in my papers!

22h
comment Are Anderson $T$-motives motives for the function field analogy?
Abelian varieties should yield all motives only over finite fields!
1d
comment Are Anderson $T$-motives motives for the function field analogy?
This looks somewhat similar to the category of mixed Tate motives i.e. you consider certain objects endowed with a filtration with 'simple' factors (on which $T=\theta$ in your setting).
Aug
10
asked The 'most general' papers on rational Borel-Moore motivic homology and K'-theory?
Aug
9
accepted Which valuations of a field yield codimension $1$ subschemes of their 'models'
Jul
30
comment Motivic L-function vs motivic zeta function
I did not read this 1991 paper; I can only say that you have just written the zeta function of the tensor product of $M$ by the Artin motif corresponding to $\rho$. The latter motif becomes constant when you pass to the field $F_{p^{\sharp G}}$, whereas $M$ can be an arbitrary motif. And here is a certain reference: users.ictp.it/~pub_off/lectures/lns019/Loeser/Loeser.pdf
Jul
29
revised Which valuations of a field yield codimension $1$ subschemes of their 'models'
deleted 2 characters in body
Jul
28
revised Hodge modules and Deligne-Beilinson cohomology of function fields
added 144 characters in body; edited tags
Jul
28
comment Motivic L-function vs motivic zeta function
For example, p. 76 of math.lsa.umich.edu/~mmustata/zeta_book.pdf yet I am not sure that this is a nice reference.
Jul
28
answered Motivic L-function vs motivic zeta function
Jul
27
asked Hodge modules and Deligne-Beilinson cohomology of function fields
Jul
26
accepted On two notions of 'generators' for a 'large' triangulated category
Jul
26
comment On two notions of 'generators' for a 'large' triangulated category
Thank you! It seems that the implication you indicated is exactly what I need for my purposes.
Jul
26
comment Which valuations of a field yield codimension $1$ subschemes of their 'models'
This is probably true. Yet do you now any references for this (where some terms are introduced)?
Jul
25
awarded  Notable Question
Jul
25
comment Which valuations of a field yield codimension $1$ subschemes of their 'models'
Possibly I am getting something wrong; yet in the 'geometrical' case there are 'bad' valuations; see mathoverflow.net/questions/135544/…
Jul
25
comment On two notions of 'generators' for a 'large' triangulated category
Thank you! Yes; I have met the equivalence of (i) and (ii) in the paper of Krause on well-generated triangulated categories. Yet I wonder whether well-generatedness is necessary here.
Jul
25
asked Which valuations of a field yield codimension $1$ subschemes of their 'models'
Jul
25
asked On two notions of 'generators' for a 'large' triangulated category
Jul
16
comment Strengthening of Suslin's rigidity argument?
Yes, in a certain range \'etale and motivic cohomology groups are isomorphic. Could you say, what are the (numbers of the) groups you are interested in? Also, do you have any more evidence supporting your conjecture?
Jul
15
comment Strengthening of Suslin's rigidity argument?
Certainly, etale and algebraic K-theory do not coincide. One may say that algebraic K-theory is controlled by motivic cohomology. Also, it seems that the 'usual' method for proving rigidity does not yield any statement as desired.