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bio website buddha239.livejournal.com
location St. Petersburg (Russia)
age 37
visits member for 5 years, 8 months
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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!

Jul
28
revised Pure motives and compatible systems of $\ell$-adic representations
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Jul
20
revised Are there connections between Homotopy type theory and Grothendieck's theory of motives?
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Jul
18
comment Which statements and arguments of Hovey's “Model categories” fail without functorial factorizations of morphisms?
Thank you very much for this information! I will correct the reference in the next version of my preprint. Certainly, any your comments are very welcome!
Jul
16
awarded  Nice Question
Jul
7
revised Reduced products of (abelian and triangulated) categories: references?
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Jul
7
revised Reduced products of (abelian and triangulated) categories: references?
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Jul
7
revised Reduced products of (abelian and triangulated) categories: references?
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Jul
7
asked Reduced products of (abelian and triangulated) categories: references?
Jun
29
revised When there exists some “cone” of a morphism of (ind-representable) cohomological functors?
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Jun
29
revised When there exists some “cone” of a morphism of (ind-representable) cohomological functors?
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Jun
29
revised When there exists some “cone” of a morphism of (ind-representable) cohomological functors?
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Jun
29
revised Can triangulated categories be “approximated by countable subcategories” (that are triangulated but not full!)?
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Jun
29
comment A conservative, non faithful functor between triangulated categories
You are always welcome! Sorry for complicated examples; I have just recalled my own experience with these matters.
Jun
28
comment Can triangulated categories be “approximated by countable subcategories” (that are triangulated but not full!)?
Yes, such a logical argument should work. Yet I would prefer to avoid it since it is not quite "inner mathematical".
Jun
28
asked Can triangulated categories be “approximated by countable subcategories” (that are triangulated but not full!)?
Jun
28
revised A conservative, non faithful functor between triangulated categories
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Jun
28
comment A conservative, non faithful functor between triangulated categories
Sorry, I was wrong! In my examples all extensions in the heart become trivial; yet the morphisms do not vanish (for simple reasons). I will correct the answer.
Jun
27
revised A conservative, non faithful functor between triangulated categories
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Jun
27
asked When there exists some “cone” of a morphism of (ind-representable) cohomological functors?
Jun
27
comment A conservative, non faithful functor between triangulated categories
Certainly, these Hodge examples are far from being "the easiest ones"; one can certainly construct much simpler examples of transversal structures (such that the weight complex functor will not be faithful). I believe that it suffices to consider one of Paranjape's "higher" derived categories of filtered vector spaces here.