Category Archives: Langlands

What Does Spec Z Look Like?

Posted on September 14, 2023 by woit

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

Posted on July 10, 2023 by woit

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

Posted on July 6, 2023 by woit

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 →

Posted in Langlands | 1 Comment

All Langlands All the Time

Posted on June 12, 2022 by woit

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 P1

Posted on January 29, 2022 by woit

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)

Posted on July 29, 2021 by woit

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

Posted on July 6, 2021 by woit

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

Yet More Geometric Langlands News

Posted on February 27, 2021 by woit

It has only been a couple weeks since my last posting on this topic, but there’s quite a bit of new news on the geometric Langlands front. One of the great goals of the subject has always been to bring … Continue reading →

Posted in Langlands | 14 Comments

Geometric Langlands News

Posted on February 11, 2021 by woit

There’s various news to report on the geometric Langlands front, spanning number theory to quantum field theory: Minhyong Kim has been running an Online Mini-Conference on the Geometric Langlands Correspondence for the past month, and Dennis Gaitsgory has been doing … Continue reading →

Posted in Langlands | 7 Comments

Some Math News

Posted on August 27, 2019 by woit

My Columbia colleague Patrick Gallagher passed away a few months ago at the age of 84. He had only recently retired, and for many years was the longest serving member of the department and an important part of its institutional … Continue reading →

Posted in Langlands, Obituaries | 7 Comments