Category Archives: Mathematics

Jacquet-Langlands and an old R=T conjecture

Posted on January 12, 2019 by Persiflage

This is part 2 of a series of posts on R=T conjectures for inner forms of GL(2). (See here for part 1). (Edit: this is still incorrect and there should have been a part 3, but I’ve been distracted… in … Continue reading →

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And then there were 8:

Posted on January 6, 2019 by Persiflage

News from Minnesota on the 8-author paper has arrived! http://math.uchicago.edu/~fcale/blog/8author.mp4

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New Results In Modularity, Christmas Update

Posted on December 25, 2018 by Persiflage

It’s a Christmas miracle! Keen watchers of this blog will be happy to learn that the 10 author paper discussed here and here is now available. (And just in case you also missed it, you can also find the other … Continue reading →

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Hausdorff Trimester: May 4-August 21, 2020

Posted on November 18, 2018 by Persiflage

This post is to let everyone know that there will be a trimester at the Hausdorff institute in 2020 organized by Ana Caraiani, Laurent Fargues, Peter Scholze, and myself on “The Arithmetic of the Langlands Program“. The dates for both … Continue reading →

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Irregular Lifts, Part I

Posted on October 19, 2018 by Persiflage

This post motivated in part by the recent preprint of Fakhruddin, Khare, and Patrikis, and also by Matt’s number theory seminar at Chicago this week. (If you are interested in knowing what the calendar is for the Chicago number theory … Continue reading →

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More or less OPAQUE

Posted on October 16, 2018 by Persiflage

I recently talked with Lynnelle Ye (a soon to be graduating student of Mark Kisin) for a few hours about her thesis and related mathematics. In her thesis, she generalizes (in part) the work Liu-Wan-Xiao on the boundary (halo) of … Continue reading →

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Mazur’s Program B on Abelian Surfaces

Posted on September 7, 2018 by Persiflage

In the book “More mathematical people,” there is an interview with Robin Wilson with the following quote: At the meal I found myself sitting next to Alistair Cooke who was very charming, and absolutely fascinating to listen to. The very … Continue reading →

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Bristol 2005

Posted on August 5, 2018 by Persiflage

(This is really just a supplement to this post.) The AIM model of conferences encourages real time collaboration, which is unusual as far as mathematical conferences go. But the ne plus ultra of such a conference (among those I have … Continue reading →

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The spoils of Rio

Posted on August 1, 2018 by Persiflage

Congratulations to Akshay and Peter — don’t spend all those loonies at once! (Actually, I’m not sure that’s a grammatically correct usage of the word loonies unless they pay the winners in the form of 15000 coins; possibly the Hawk … Continue reading →

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Update on Sato-Tate for abelian surfaces

Posted on July 19, 2018 by Persiflage

Various people have asked me for an update on the status of the Sato-Tate conjecture for abelian surfaces in light of recent advances in modularity lifting theorems. My student Noah Taylor has exactly been undertaking this task, and this post … Continue reading →

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