Yitang Zhang answers some questions about his new paper about non-vanishing regions of L-functions:

www-zhihu-com.translate.goog/question/56479…

Some observations

1/ The -2022 was absolutely on purpose, and while I guessed he probably got something about -2000 and tweaked it for the cute result, Zhang says

>My method should be able to get negative hundreds

So we can maybe get an order of magnitude improvement over his paper.

2/

I watched @JDHamkins in yesterday. As much as I highly respect Joel, it was ... interesting seeing him interpret/answer the mathematical questions in a way I found very Professional Set Theorist, given the interviewer was self-confessed largely ignorant. I cannot blame Joel, he *is* a professional set theorist! One has to start answers somewhere. But I was itching in my seat when I wanted to have given the same answer, but stated in a different way. :-)

I think I have a new, simpler connection and curving on the "basic gerbe" on a compact, simple, simply-connected Lie group G, with curvature 3-form given by the standard invariant form that is the generator of H^3(G).

1/n What is this? you may well ask. Well, let us take the Lie group SU(2) for concreteness, since this exhibits enough generality to show how all the cases work.

2/n

Hopefully a useful resource for people who suddenly need to teach in an online mode



I've only watched the beginning, will work my way through it. Maybe live-tweet observations. If asking for any questions, leave students time to type; will up the time a little, and indeed encourage spontaneous question-asking in the chat box, then when a natural break for questions occurs, they are lined up.

1/n

I have a stupid question: I'm pretty sure I remember having seen a construction that takes a bounded hypercover of a topological space X (I even only care about some cosk₁(V ⇉ U) → X and produces an open cover of X refining the hypercover. Or am I being dense? I might just #trymathslive with this one.