Zygotop seminar
We are an informal pedagogical seminar concerning algebraic topology and homotopy theory, localized at Harvard and MIT. Unless otherwise specified, talks will proceed on Wednesdays at 4:30pm ET, located in SC 310, and following a topic chosen by the speaker, organized according to these principles.
This seminar is organized by Isabel Longbottom, who you should email with questions or to be added to the signal group chat. Click here to add this seminar to your google calendar.
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I will begin by explaining the title of this talk, i.e., I'll provide some background on the usual telescope conjecture and explain how one might be led to ask whether or not various tensor triangulated categories satisfy the "tensor telescope conjecture". Then, following Hall and Rydh, I'll sketch a proof of the fact that for a large class of algebraic stacks X, \(D_{qc}(X)\) satisfies the triangular telescope conjecture.
References:
- Chromatic structures in stable homotopy theory by Barthel and Beaudry.
- The telescope conjecture for algebraic stacks by Hall and Rydh.
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Abstract to appear
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A proper abstract will be forthcoming, but I'll be talking about Morse (co)homology, in particular the Morse \(A_\infty\)-category of a closed manifold equipped with a Riemannian metric, and how this is basically realised as (part of) a particular Fukaya category. I hope to give an interesting introduction to the basic ideas to an audience not particularly invested in the smooth world.