2,710 reputation
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bio website webspersoais.usc.es/persoais/…
location USC.es
age
visits member for 3 years, 10 months
seen 2 days ago

Mar
7
awarded  Necromancer
Mar
6
awarded  Nice Answer
Mar
6
revised Why is the derived tensor product only defined for bounded above derived categories?
minor correction
Mar
6
comment Why is the derived tensor product only defined for bounded above derived categories?
@Adeel The paper you mention is a great reference, but it uses model categories, the ones I gave restrict to methods of homological algebra, enough for a lot of purposes. In any case, a general knowledge of model categories is useful too.
Mar
6
answered Topological homotopy category as derived category
Mar
6
answered Why is the derived tensor product only defined for bounded above derived categories?
Feb
24
reviewed Approve suggested edit on When is this matrix singular?
Jan
17
awarded  Custodian
Jan
17
reviewed Approve suggested edit on Going further on How sections of line bundles rule maps into projective spaces
Dec
16
comment Why was it so difficult to define the relative de Rham-Witt complex?
It seems that leaving the "base field" case adds a lots of complexity, as in general Witt vectors vs. $p$-typical Witt vectors. Are you aware of arXiv:1311.2774? I guess, these kind of ideas would lead to a simpler construction of DRW over a field.
Dec
16
comment Why was it so difficult to define the relative de Rham-Witt complex?
I guess this is connected to Grothendieck's problem of finding a good theory of crystals "over $\mathbb{Z}$". And this seems to have revealed as a very complicated task.
Dec
13
comment How can an extremely mathematically talented young person be helped to fulfill his/her potential?
Frankly, I don't understand. You can acquire a feeling of what happens looking at examples. This is what math software provides. Do you think the kid is beyond Pappus or Desargues axioms in geometry or Jordan form of a matrix?
Dec
12
awarded  Citizen Patrol
Dec
11
answered How can an extremely mathematically talented young person be helped to fulfill his/her potential?
Oct
23
comment canonical bundle of the relative spectrum
Notice that $Spec(Sym(\mathcal{A}))$ is affine over $X$ and you have to put very tight restrictions to make it finite, i.e. proper, where the theory of the canonical module works.
Oct
15
awarded  Caucus
Sep
30
revised $\mathcal{D}$-quasi-isomorphisms and coherent $\Omega$-modules
fixet TeX
Sep
17
revised Comparison of two traces
added 54 characters in body
Sep
17
answered Comparison of two traces
Jul
19
revised Equivalence of definitions of Tilting
edited tags