Welcome to the new Harvard Math Website

Click Here to access the old site.

upcoming events

  • February 7, 2020
    3:30 pm
    Science Center 507

    GAUGE-TOPOLOGY-SYMPLECTIC SEMINAR

    Speaker: Zack Sylvan - Columbia   Title: TBA
  • February 21, 2020
    3:30 pm
    Science Center 507

    GAUGE-TOPOLOGY-SYMPLECTIC SEMINAR

    Speaker: Mariano Echeverria - Rutgers   Title: TBA
  • March 6, 2020
    3:30 pm
    Science Center 507

    GAUGE-TOPOLOGY-SYMPLECTIC SEMINAR

    Speaker: David Gabai - Princeton   Title: TBA
  • March 27, 2020
    3:30 pm
    Science Center 507

    GAUGE-TOPOLOGY-SYMPLECTIC SEMINAR

    Speaker: Chris Wendl - Humboldt-Berlin   Title: TBA
  • May 1, 2020 - May 3, 2020
    Science Center Hall B

    CONFERENCE

    Title: JDG Conference
< 2018 >
December
«
»
Sun
Mon
Tue
Wed
Thu
Fri
Sat
November
November
November
November
November
November
1
2
3
4
5
6
7
  • 3:30 PMGAUGE-TOPOLOGY-SYMPLECTIC SEMINAR
    3:30 PM-4:30 PM
    December 7, 2018

    1 Oxford Street, Cambridge, MA 02138 USA

    1 Oxford Street, Cambridge, MA 02138 USA

    Abstract:

    We prove that the splicing of any two non-trivial knots in the 3-sphere admits an irreducible SU(2)-representation of its fundamental group. This uses instanton gauge theory, and in particular a non-vanishing result of Kronheimer-Mrowka and some new results that we establish for holonomy perturbations of the ASD equation. Using a result of Boileau, Rubinstein, and Wang (which builds on the geometrization theorem of 3-manifolds), it follows that the fundamental group of any integer homology 3-sphere different from the 3-sphere admits irreducible representations of its fundamental group in SL(2,C).

8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
January
January
January
January
January

announcements

JDG Conference

May 1-3, 2020 Harvard University Science Center, Hall B Confirmed speakers: Toby Colding, MIT Tristan Collins, MIT Hélène Esnault, Freie Universität Berlin Kenji Fukaya, Stony...
Read more

See more Announcements

news

Alexander Smith Awarded David Goss Prize

Harvard Mathematics Department graduate student Alexander Smith, who is expected to receive his Ph.D. in 2020, was awarded the 2019 inaugural David Goss Prize in Number Theory at the JNT Biennial conference in Cetraro, Italy. The newly established David Goss Prize (10K USD) will be awarded every two years to...
Read more

See more news