bio  website  buddha239.livejournal.com 

location  St. Petersburg (Russia)  
age  37  
visits  member for  5 years 
seen  1 hour ago  
stats  profile views  4,322 
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!
8h

comment 
How would you call a variety that is locally a complete intersection up to defect c?
Why not "STLCI"?:) Previously I wrote "LSTCI" instead. Was any abbreviation of this sort used in literature? 
13h

asked  How would you call a variety that is locally a complete intersection up to defect c? 
Dec 11 
revised 
Algebraic equivalence vs linear equivalence
edited tags 
Dec 10 
comment 
Etale Realization and Gysin Sequence
This is definitely true for the paper your cite. Yet I believe that the statement you want can be extracted from other papers of Deglise. The alternative author is Ayoub (but I have never read much of him). 
Dec 4 
answered  Etale Realization and Gysin Sequence 
Nov 30 
awarded  Yearling 
Nov 29 
revised 
What problem would you base your mathcoin on?
10x11 is not a square;) 
Nov 20 
comment 
What is DAG and what has it to do with the ideas of Voevodsky?
Do you know the paper "Ktheory and the bridge from motives to noncommutative motives" sciencedirect.com/science/article/pii/S0001870814003570? 
Nov 17 
comment 
Use of derivators to the theory of motives?
I would like to express my own understanding of Adeel's answer. So, when treating motives over a base one considers certain triangulated motivic categories over each base scheme and also several types of connecting functors between these categories. The motivic categories are equipped with canonical models, and some of the connecting functors possess canonical lifts to models; yet some of the types of these functors do not seem to possess canonical lifts of this sort. I would really like to know whether algebraic derivators solve this problem! 
Oct 24 
comment 
Any counterexamples known for the Generalized Tate conjecture?
Please, pay attention to the P.S. 
Oct 24 
revised 
Any counterexamples known for the Generalized Tate conjecture?
added 194 characters in body 
Oct 24 
comment 
Any counterexamples known for the Generalized Tate conjecture?
So, you think that it is not the "ordinary generalized" conjecture that becomes false? Possibly, this is the rignt way to read Milne's claim. Thank you!! you!! 
Oct 24 
asked  Any counterexamples known for the Generalized Tate conjecture? 
Oct 13 
comment 
relations between derived categories of indA and A
I'm affraid that only the semisimplicity of $A$ can help here. Otherwise it's quite difficult to compute the $D(indA)$morphisms FROM an object of $A$ to a shift of an indobject of $A$; this involves the higher projective limit functors. 
Oct 7 
revised 
Which “concrete” morphisms of varieties and motives induce bijections of their lower Chow groups?
added 86 characters in body; edited title 
Oct 5 
comment 
What can one say about zerocycle groups for products of Chow motives
Actually, I have realized that it would be ok to compute the Albanese kernel for the product of a large number of curves with genus bounded by some constant. So, I probably need a certain vanishing result for the corresponding Somekawa's Kgroups. 
Oct 5 
revised 
What can one say about zerocycle groups for products of Chow motives
added 84 characters in body 
Oct 5 
comment 
About embedding pure motives into the triangulated category of mixed motives and some further questions about motivic cohomology
Also, my impression that the paper math.univtoulouse.fr/~dcisinsk/DMet.pdf (by Cisinski and Deglise; unfortunately the link does not work at the moment) currently gives more information on \'etale motives that Ayoub's texts. 
Oct 5 
comment 
About embedding pure motives into the triangulated category of mixed motives and some further questions about motivic cohomology
My impression is that your question is quite sensitive to the choice of notation, whereas the notation widely varies from paper to paper. So I would recommend you to write explicitly which texts you are trying to read. 
Oct 5 
comment 
About embedding pure motives into the triangulated category of mixed motives and some further questions about motivic cohomology
I would rather specify that $L$ becomes $Z(1)[2]$ in Voevodksy's notation. Besides, it seems that CisinskiDeglise's are now able to describe (relative) motives over characteristic $0$ varieties using the cdhtopology. 