Fields Medal: Fundamental Lemma Proof – Prof. Ngo Bao Chau


Sv Oxford voi giao su Ngo Bao Chau

Links to the original proof:

– In French: Fundamental Lemma Proof – Ngo Bao Chau

– In English: bodecoban-ngobaochau

A talk by David Ben-Zvi on the Fundamental Lemma for a broad graduate audience at The University of Texas at Austin:

The Fundamental Lemma, abstract:

I will give a gentle overview of the ideas surrounding the Fundamental Lemma and its solution by Ngo Bao-Chau (recently ranked number 7 in Time Magazine‘s Top 10 Scientific Discoveries of 2009). The Fundamental Lemma is a key ingredient in the Arthur-Selberg Trace Formula and the entire Langlands program, with  deep implications for number theory. Its conjectural status (to quote Langlands) “rendered progress almost impossible for nearly twenty years”.

Ngo’s solution is a stunning application of the analogy between Riemann surfaces and number fields: it revolves around Hitchin’s integrable system, a construction in the geometry of bundles on surfaces motivated by physics.

The talk will be aimed at a broad graduate audience: http://media.cit.utexas.edu/math-grasp/David_Ben-Zvi_lecture.html.

(Source: http://front.math.ucdavis.edu/0801.0446 &  http://thichhoctoan.wordpress.com/)

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s