2,239 reputation
1025
bio website math.berkeley.edu/~vivek
location Berkeley, CA
age 30
visits member for 4 years, 1 month
seen 1 hour ago

Mar
31
awarded  Pundit
Mar
19
revised The Markov trace via Bott-Samelson fibers?
added 6 characters in body
Mar
19
revised The Markov trace via Bott-Samelson fibers?
added 12 characters in body
Mar
19
revised The Markov trace via Bott-Samelson fibers?
added 33 characters in body
Mar
19
asked The Markov trace via Bott-Samelson fibers?
Mar
18
awarded  Yearling
Mar
5
awarded  Custodian
Mar
5
reviewed Approve suggested edit on adjoint orbit of (twisted) loop group
Jan
14
comment Bounds for the milnor number of a hypersurface singularity
I do not think the method suggested by Will and Roy works, as shown by the answer of Dmitry below. Indeed, the Euler characteristic of a smooth hypersurface of degree d in $\mathbb{P}^n$ is $((1−d)^{n+1}−1)/d+ n + 1$, which is quite a bit less than $(d−1)^n$. The point is that the vanishing cycles can come either from the disappearance of $H^{mid}$ or the appearance of $H^{mid+1}$. Of course, $(d−1)^n$ really is an upper bound, since $\mu= \mathrm{dim} \,\mathbb{C}[x_1, \ldots, x_n]/(\partial f/ \partial x_i) \le (d-1)^n$ if finite by Bezout.
Jan
10
comment On the generating functions for Euler characteristic of Hilbert schemes of points
In fact, a version of that equality holds even for 'universal' Euler characteristics, i.e. in the Grothendieck ring of varieties. See arxiv.org/pdf/math/0407204v1.pdf .
Nov
27
awarded  Nice Question
Oct
29
comment A gentle introduction to CFT
What's with the hate for this question? Regarding (1), there's a paper of Segal titled ``The definition of conformal field theory'' that might be relevant. As for (2), (3), (4), I would very much like an answer myself. I also think (2), (3), (4) are just reformulations / aspects of / clarifications of the same underlying question, so the complaint that there's too many questions here is just absurd.
Aug
27
comment Iterated Milnor fibrations and Thom's a_f condition
maybe this arxiv.org/pdf/math/0605369.pdf will be helpful
Aug
22
revised Reconstructing complexes of sheaves from their cohomology sheaves
added 2 characters in body
Aug
22
asked Reconstructing complexes of sheaves from their cohomology sheaves
Jul
29
comment transverse intersection of Whitney stratifications
$R \cap S = \emptyset$
Jul
23
accepted Intersection multiplicity in abelian varieties
Jul
22
comment Intersection multiplicity in abelian varieties
@ulrich: connected components is all I meant, I'll have a look in Fulton. If you care to expand your comment into an answer I'd be grateful...
Jul
22
comment Intersection multiplicity in abelian varieties
It's certainly true you can move to make the intersections isolated, which is why I believed the statement in the first place. But in trying to actually make a proof out of this: how do you know that each connected component before you moved can really be followed to a bunch of points along the move?
Jul
22
revised Intersection multiplicity in abelian varieties
added 4 characters in body