bio  website  buddha239.livejournal.com 

location  St. Petersburg (Russia)  
age  37  
visits  member for  5 years, 4 months 
seen  3 hours ago  
stats  profile views  4,488 
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!
11h

comment 
What should one “do” to “strictify” a triangle of transformations coming from a lax commutative triangle of functors?
The units of my adjunctions in the case when $f,g,h$ admit right adjoints (so that one can compose the units for $f$ and $g$). 
20h

comment 
What should one “do” to “strictify” a triangle of transformations coming from a lax commutative triangle of functors?
Yes; if we fix $f$ and its adjoint then the unit and the counit will be fixed also. Yet I am interested in the case when the adjoint to $f$ is not fixed. 
1d

comment 
What should one “do” to “strictify” a triangle of transformations coming from a lax commutative triangle of functors?
Do you prefer "unit/counit of the adjunction"? 
1d

asked  What should one “do” to “strictify” a triangle of transformations coming from a lax commutative triangle of functors? 
Mar 20 
comment 
Récollement of stable $t$structures
And certainly the result follows immediately from the "formula" for the glued tstructure. 
Mar 19 
answered  Recollement of multiple $t$structures 
Mar 17 
comment 
Recollement of multiple $t$structures
No, this was not clarified clearly enough for me to understand it. For which triangulated categories do you consider this "multiple glued" tstructures? 
Mar 16 
comment 
Recollement of multiple $t$structures
I cannot give an answer until I know which functors and triangulated categories you consider. 
Mar 16 
comment 
Recollement of multiple $t$structures
Definitely no geometry is necessary here; yet could you describe the setting you consider in more detail? 
Mar 16 
comment 
Gersten Conjecture for Milnor Ktheory
Did you read all Kerz's papers on the subject? As far as I remember, he proposed "correcting" Milnor's Ktheory in the case when residue fields are finite. 
Mar 16 
comment 
Recollement of multiple $t$structures
Could you explain what gluing data do you have for your $D_i$? My guess it that $D_i$ should have "welldefined images" in the "glued category" $D$. 
Mar 16 
comment 
Récollement of stable $t$structures
Look at Appendix E5 in webusers.imjprg.fr/~bruno.kahn/preprints/der1mot.pdf 
Mar 10 
accepted  Motivic integration in positive characteristic: how much is known? 
Mar 9 
comment 
On Grothendieck's idea on his Standard Conjecture B
This may be true. At least, in some papers written around 1970 (not by Grothendieck:)) I have met the hope that crystalline cohomology (or, maybe, some other $p$adic cohomology theory) will yield the proof of the last remaining Weil conjecture. 
Mar 6 
revised 
Ktheory of coherent sheaves on complex manifolds: references and gammafiltration?
added 108 characters in body 
Mar 6 
asked  Ktheory of coherent sheaves on complex manifolds: references and gammafiltration? 
Mar 5 
asked  Motivic integration in positive characteristic: how much is known? 
Mar 2 
comment 
On Grothendieck's idea on his Standard Conjecture B
Well, this was just a guess; you can write down your own one. 
Mar 1 
comment 
When does a perverse sheaf occur in the decomposition theorem?
$j_{!*}L$ occurs in the decomposition of a semisimple perverse $P$ if and only if $L$ is in the decomposition of $j^*P$. 
Feb 28 
comment 
When does a perverse sheaf occur in the decomposition theorem?
Moreover, you can restrict further to the generic point $Spec K$ of $S$. Then it remains to study the corresponding continuous $Q_l$representations of the Galois group of $K$. 