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# Category Archives: Langlands

## A New Approach to Modularity

I was assuming that Peter Scholze’s Emmy Noether lectures at the IAS would be the big news about advances in the Langlands program this coming week, but an anonymous correspondent just sent me this link. Tomorrow Andrew Wiles will be … Continue reading

Posted in Langlands
4 Comments

## Arithmetic, Geometry and QFT news

This week at Harvard’s CMSA there’s a program on Arithmetic Quantum Field Theory that is starting up and will continue through March. There’s a series of introductory talks going on this week, by Minhyong Kim, Brian Williams, and David Ben-Zvi. … Continue reading

Posted in Langlands
10 Comments

## Analytic Stacks

Dustin Clausen and Peter Scholze are giving a course together this fall on Analytic Stacks, with Clausen lecturing at the IHES, Scholze from Bonn. Here’s the syllabus: The purpose of this course is to propose new foundations for analytic geometry. … Continue reading

Posted in Langlands
13 Comments

## What Does Spec **Z** Look Like?

This week Laurent Fargues has started a series of lectures here at Columbia on Some new geometric structures in the Langlands program. Videos are available here, but unfortunately there is a problem with the camera in that room, making the … Continue reading

Posted in Langlands
24 Comments

## Relative Langlands Duality

For several years now, David Ben-Zvi, Yiannis Sakellaridis and Akshay Venkatesh have been working on a project involving a relative version of Langlands duality, which among many other things provides a perspective on L-functions and periods of automorphic forms inspired … Continue reading

Posted in Langlands
4 Comments

## The Work of Robert Langlands

This is more of an advertisement than a blog post. This evening on the arXiv James Arthur has posted a wonderful 204 page document explaining the work of Robert Langlands, written in conjunction with the award of the Abel Prize … Continue reading

## All Langlands All the Time

I’m about to head to Paris on vacation, quite possibly there will be less blogging for the next couple of weeks. Here are a few Langlands-related items: The big Langlands-related event of the summer will be the July IHES Summer … Continue reading

Posted in Langlands, Uncategorized
3 Comments

## Notes on the Twistor P^{1}

I’ve just finished writing up some notes on what the twistor $P^1$ is and the various ways it shows up in mathematics. The notes are available here, and may or may not get expanded at some point. The rest of … Continue reading

Posted in Euclidean Twistor Unification, Langlands
8 Comments

## More of the Same (Physics, Math and Unification)

I was going to just provide the following links with a some comments, but decided it would be a good idea to put them into what seems to me the larger context of where we are in fundamental physics and … Continue reading

Posted in Euclidean Twistor Unification, Langlands
Comments Off on More of the Same (Physics, Math and Unification)

## Even More Langlands

Various news at least tangentially related to the Langlands program: Cambridge University Press this month is publishing a volume edited by Julia Mueller, entitled The Genesis of the Langlands Program. The chapters by various authors concentrate on Langlands himself and … Continue reading

Posted in Langlands
3 Comments