Self-organised Seminar: Tangent space and metric on CAT(κ) spaces (2026)

Date and time

Every Monday and Thursday (10:00-12:00 or 11:00-13:00)

Venue

Room No. 4430 (Nonlinear Analysis Group)

Textbook

S. Sudo, Zero point problem for monotone vector fields on geodesic spaces, Doctoral Thesis, Toho University, draft.

Schedule

• #1, Thu 15/1/2026, 10:00-12:00
• #2, Mon 19/1/2026, 11:00-13:00
• #3, Fri 23/1/2026, 10:00-12:00
• #4, Mon 26/1/2026, 10:00-12:00
• #5, Fri 30/1/2026, 10:00-12:00

Person in charge

Zero point problem for monotone vector fields on geodesic spaces

• Chapter 1 Preliminaries
  • 1.1 Geodesic space and model space
  • 1.2 CAT(κ) space
  • 1.3 Note on the definition of CAT(κ) space
• Chapter 2 Angle and direction
  • 2.1 Alexandrov angle (Kajimura)
  • 2.2 Representations of angles (To)
  • 2.3 Direction space (Sasaki)
• Chapter 3 Tangent space and metric
  • 3.1 Tangent space (Kajimura)
  • 3.2 Metric (To)
  • 3.3 Continuity of the metric
  • 3.4 Directed operator
  • 3.5 Note on tangent spaces