Change Player Size

Watch this video in a new window

Melissa Liu (Part 5) M2U00126

Get the latest Flash player

Unsubscribe

ro6ertchaste
December 29, 2008

(more info)

(less info)

Want to Subscribe?
Sign In or Sign Up now!

Melissa Liu speaks at Northeastern university. Guest Speaker: Melissa Liu Columbia University Title: Moduli spaces of flat bundles over a nonorientable surface Date: Tuesday, November 18, 2008 Time: 1:00 p.m. Location: 509 Lake Hall In "The Yang-Mills equations over Riemann surfaces", Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the poing of view of Morse theory. Nan-Kuo Ho and I generalized their study to all closed, compact, connected, possibly nonorientable surfaces. I will review the work of Atiyah and Bott and describe my joint work with Ho. Let G be a compact Lie group, and let S a connected, closed, orientable or nonorientable surface. The moduli space of flat G-bundles over S can be identified with Hom(\pi_1(S), G)/G. When S is orientable, the G-equivariant Poincare series of the representation variety Hom(\pi_1(S),G) can be computed by the Atiyah-Bott recursion relations derived from the Morse stratification of the Yang-Mills functional. I will describe computations of the G-equivariant Poincare series of Hom(\pi_1(S), G) for a nonorientable surface S when G=U(2), SU(2), U(3), SU(3). Unlike the orientable case, the Morse stratification of the Yang-Mills functional is not perfect, and the real kirwan map is not surjective. This is a joint work with Nan-Kuo Ho.

Category: Science & Technology

Tags:

URL

Embed

Customize

More From: ro6ertchaste

Play All Stop Autoplaying | Play Next Play Next

QuickList(0)

Clear | Save

Related Videos

Added to
Quicklist8:31

Calculating a Definite Integral Using Riemann S...

11,614 views

patrickJMT

Featured Video

Added to
Quicklist3:19

Melissa Liu (Part 4) M2U00125

61 views

ro6ertchaste

Added to
Quicklist2:42

Melissa Liu (Part 6) M2U00127

36 views

ro6ertchaste

Added to
Quicklist8:28

SUMMER (VIVALDI FOUR SEASONS)

1,292,321 views

wintermood

Added to
Quicklist2:39

Pretty Woman piano music

47,516 views

hdoresz1988

Added to
Quicklist10:59

Evolution: From the Fossil Record to Genomic Re...

9,071 views

Gravitationalist

Added to
Quicklist1:20:53

Archaeology: Digging for the Truth of the Bible

17,845 views

BereanBeacon

Added to
Quicklist1:03:02

Lecture 6B | MIT 6.001 Structure and Interpreta...

4,868 views

MIT

Added to
Quicklist4:28

JCDC Vs Lego

505,744 views

rgjustum

Added to
Quicklist3:00

Exercice mathematiques bijection

977 views

Applicationbijective

Added to
Quicklist3:56

REO Speedwagon "Can't Fight This Feeling"

550,921 views

RetroVault2

Added to
Quicklist1:59

DAVE DUDLEY -- SIX DAYS ON THE ROAD

78,757 views

ALLEN0955

Added to
Quicklist3:49

Miley Cyrus - The Climb - Official Music Video ...

62,077,765 views

hollywoodrecords

Added to
Quicklist6:39

Edward Gal and Moorlands Totilas 90.7% KUR Euro...

322,368 views

miramishorse

Added to
Quicklist5:37

Allman Brothers "Sweet Melissa" - acoustic/unpl...

226,309 views

SeleniumRectifier

Added to
Quicklist0:46

Stereographic projection of Riemann sphere

44,712 views

mikeabreen

Added to
Quicklist0:55

Nguyen My Linh

36,934 views

exphenomena

Added to
Quicklist5:11

Big Brother comments as of 7/10/07

153 views

BethSpews

Added to
Quicklist4:28

Melissa Nina Yang

205 views

ridelikemike

Added to
Quicklist5:07

Melissa Liu (Part 7) M2U00128

63 views

ro6ertchaste

See all 45 videos

Upgrade to Flash Player 10 for improved playback performance. Upgrade Now or get more info.

0 ratings

104 views

Like to rate videos and let people know what you think? Automatically share your ratings, favorites, and more on Facebook, Twitter, and Google Reader with YouTube Autoshare.

Try Autoshare What is Autoshare?

Autoshare makes certain YouTube activities public on the services you choose. Select only the services you are comfortable with - like Facebook, Twitter, or Google Reader - to let your friends know what you like on YouTube. You can turn Autoshare off at any time.

Favorite

Playlists

Flag

(more share options)

fewer share options

MySpace

Facebook

Twitter

MySpace

Facebook

Twitter

Digg

orkut

Live Spaces

Bebo

hi5

Like to share videos with friends? Automatically share your ratings, favorites, and more on Facebook, Twitter, and Google Reader with YouTube Autoshare.

Try Autoshare What is Autoshare?

This video will appear on your blog shortly.

Thank you for sharing this video!

Saving...

This video has been added to your Favorites. (Undo)

This video has been removed from your Favorites. (Undo)

Like to Favorite videos and let people know what you think? Automatically share your ratings, favorites, and more on Facebook, Twitter, and Google Reader with YouTube Autoshare.

Try Autoshare What is Autoshare?

Want to add to Favorites? Sign In or Sign Up now!

The video has been added to your playlist.

Want to add to Playlists? Sign In or Sign Up now!

Want to flag a video? Sign In or Sign Up now!

Statistics & Data

Video Responses (0)

This video has no Responses. Be the first to Post a Video Response.

Text Comments (0) Options

Showing 0 of 0 comments

View All 0 comments

Would you like to comment?

Join YouTube for a free account, or sign in if you are already a member.

Like to comment and let people know what you think?

Try Autoshare What is Autoshare?

YouTube	Programs	Help	Policy	Discover
Contact Us	Advertising	Get Help	Privacy Policy	YouTube on Your Phone
YouTube Store	Developers	YouTube Handbook	Terms of Service	YouTube on Your Site
Press Room	Partnerships	Community Help Forums	Copyright Notices	YouTube on Your TV
Business Blog	Content Management	Safety Center	Community Guidelines	YouTube RSS Feeds
YouTube Blog		Creator's Corner		TestTube

Add YouTube to your Google homepage

Current Location: Worldwide Show locations

Current Language: English Show languages