Seminars this week
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Robert Lipshitz
Apr 25, 2012, 6:13:11 PM4/25/12
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Hi folks,
Our speaker this week is Cotton Seed, who will talk about "Twisting Szabo's geometric spectral sequence". The GT seminar might also be of interest; it's by Haydee Aguilar Cabrera on "New open book decompositions in Singularity Theory".
Friday, April 27, 10:45 a.m., in Math 520
Cotton Seed, "Twisting Szabo's geometric spectral sequence"
Abstract: Recently, by studying suitably twisted complexes, a number of knot homology theories have been formulated in terms of complexes generated by the spanning trees of a knot. In this talk, I will describe a twisted version of Szabo's geometric spectral sequence in Khovanov homology. To begin, I will review related constructions: Roberts' totally twisted Khovanov homology, a twisted variant of the spectral sequence from Khovanov homology to the double-branched cover, and Szabo's geometric spectral sequence. I will present my construction and give some computational results. Finally, I will describe some natural directions for future work.
Friday, April 27, 1:15 p.m. in Math 520
Haydee Aguilar Cabrera “New open book decompositions in Singularity Theory”
Abstract: Given a real analytic $d$-regular function from $\mathbb{R}^n$ to $\mathbb{R}^p$, ($n \geq p$), with an isolated singularity at the origin, a refinement of the Milnor fibration Theorem associates an open book decomposition of $\mathbb{S}^{n-1}$ to the singularity.
We present a family of real analytic $d$-regular functions $f$ from $\mathbb{R}^4$ to $\mathbb{R}^2$ with isolated singularity at the origin. Let $L_f$ be the link of the singularity of $f$. From $f$ we define a function $F$ from $\mathbb{R}^6$ to $\mathbb{R}^2$, with link $L_F$, such that $F$ is $d$-regular, $F$ has an isolated singularity at the origin and the knot $(\mathbb{S}^{5},L_F)$ is a cyclic suspension of $(\mathbb{S}^{3},L_f)$.
The penultimate and ultimate talks in the respective seminars -- a great way to almost end (respectively end) the semester. See you there!
Robert
Our speaker this week is Cotton Seed, who will talk about "Twisting Szabo's geometric spectral sequence". The GT seminar might also be of interest; it's by Haydee Aguilar Cabrera on "New open book decompositions in Singularity Theory".
Friday, April 27, 10:45 a.m., in Math 520
Cotton Seed, "Twisting Szabo's geometric spectral sequence"
Abstract: Recently, by studying suitably twisted complexes, a number of knot homology theories have been formulated in terms of complexes generated by the spanning trees of a knot. In this talk, I will describe a twisted version of Szabo's geometric spectral sequence in Khovanov homology. To begin, I will review related constructions: Roberts' totally twisted Khovanov homology, a twisted variant of the spectral sequence from Khovanov homology to the double-branched cover, and Szabo's geometric spectral sequence. I will present my construction and give some computational results. Finally, I will describe some natural directions for future work.
Friday, April 27, 1:15 p.m. in Math 520
Haydee Aguilar Cabrera “New open book decompositions in Singularity Theory”
Abstract: Given a real analytic $d$-regular function from $\mathbb{R}^n$ to $\mathbb{R}^p$, ($n \geq p$), with an isolated singularity at the origin, a refinement of the Milnor fibration Theorem associates an open book decomposition of $\mathbb{S}^{n-1}$ to the singularity.
We present a family of real analytic $d$-regular functions $f$ from $\mathbb{R}^4$ to $\mathbb{R}^2$ with isolated singularity at the origin. Let $L_f$ be the link of the singularity of $f$. From $f$ we define a function $F$ from $\mathbb{R}^6$ to $\mathbb{R}^2$, with link $L_F$, such that $F$ is $d$-regular, $F$ has an isolated singularity at the origin and the knot $(\mathbb{S}^{5},L_F)$ is a cyclic suspension of $(\mathbb{S}^{3},L_f)$.
The penultimate and ultimate talks in the respective seminars -- a great way to almost end (respectively end) the semester. See you there!
Robert
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