Mikhail Bondarko

I am a professor in St. Petersburg State University. I have several papers on (additive Galois module structure of) local fields, formal groups, finite commutative group schemes, and the reduction of Abelian varieties.

Currently I am studying Voevodsky's motives and their cohomology. In the process I introduced the notion of weight structure for a triangulated category; this appears to be an interesting piece of homological algebra that has plenty of applications to representation theory and algebraic topology. In particular, weight structures yield weight filtrations and weight spectral sequences that vastly generalize Deligne's ones; one also obtains ("weakly") exact and "almost conservative" weight complexes extending those of Gillet and Soule.

If you answer to one of my questions, please reveal your identity somehow, so that I can thank you in my papers.

  • St. Petersburg (Russia)
  • Member for 10 years, 6 months
  • 16 profile views
  • Last seen Nov 21 '19 at 4:54