Differential Geometry Working SeminarExport this event to calendar

Thursday, April 7, 2022 — 1:00 PM EDT

Dennis The, UiT The Arctic University of Norway

"Simply-transitive CR real hypersurfaces in C^3"

Holomorphically (locally) homogeneous CR real hypersurfaces M^3 in C^2 were classified by Elie Cartan in 1932. A folklore legend tells that an unpublished manuscript of Cartan also treated the next dimension M^5 in C^3 (in conjunction with his study of bounded homogeneous domains), but no paper or electronic document currently circulates.

Starting from around the year 2000, significant progress was made on this 5-dimensional classification problem, and the classification was completed in 2020.  I will discuss the final aspects of this effort, in particular giving a survey of my joint work with Doubrov & Merker in which we used a novel approach to settle the simply-transitive, Levi non-degenerate classification.

MC 5403

Event tags 

S M T W T F S
25
26
27
28
29
30
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
1
2
3
4
5
  1. 2022 (124)
    1. October (8)
    2. September (17)
    3. August (9)
    4. July (15)
    5. June (14)
    6. May (13)
    7. April (14)
    8. March (15)
    9. February (12)
    10. January (7)
  2. 2021 (135)
    1. December (11)
    2. November (22)
    3. October (15)
    4. September (5)
    5. August (15)
    6. July (17)
    7. June (15)
    8. May (1)
    9. April (4)
    10. March (11)
    11. February (9)
    12. January (10)
  3. 2020 (103)
  4. 2019 (199)
  5. 2018 (212)
  6. 2017 (281)
  7. 2016 (335)
  8. 2015 (211)
  9. 2014 (235)
  10. 2013 (251)
  11. 2012 (135)