Author Archives: Persiflage

Tips for new postdocs

Posted on January 20, 2019 by Persiflage

In my role as junior hiring chair, I’ve been thinking a little bit about how a (R1) institution can best serve its postdocs. Many find the transition from graduate student life to being a postdoc somewhat of a rude shock. … Continue reading →

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Local-global compatibility for imaginary quadratic fields

Posted on January 16, 2019 by Persiflage

One of the key steps in the 10-author paper is to prove results on local-global compatibility for Galois representations associated to torsion classes. The results proved in that paper, unfortunately, fall well-short of the optimal desired local-global compatibility statement, because … Continue reading →

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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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Jacquet-Langlands and a new R=T conjecture

Posted on January 8, 2019 by Persiflage

It is somewhat mysterious how one should formulate the Jacquet-Langlands correspondence integrally, particularly in the presence of torsion classes. Even the classical case has many subtleties including for example some results in this paper of Ribet. In the case of … 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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Organization

Posted on December 31, 2018 by Persiflage

This is the current state of my inbox: That either makes me very efficient and up to date, or simply very unpopular (or both!) I’m ready for the new year!

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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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Guess That Tune!

Posted on December 18, 2018 by Persiflage

I have recent upgraded my wheels from “classic” (20th century corolla, slightly used) to “contemporary” (21st century corolla, also slightly used). Possibly the last straw was when I found the article Toyota Recalls 1993 Camry Due To Fact That Owners … Continue reading →

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A strange continuity

Posted on November 25, 2018 by Persiflage

Returning to matters OPAQUE, here is the following problem which may well now be approachable by known methods. Let me phrase the conjecture in the case when the prime p = 2 and the level N = 1. As we … 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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