**Organizers:** Leandro Lichtenfelz and Xiaoxiao Li

**Seminar: **Monday 11:30-12:30 pm, H258

**Problem section: **Friday 11:30-12:30 pm, H258

**Schedule**

- January 19

Minicourse: Comparison Theorems in Riemannian Geometry I (Xiaoxiao Li) Notes Problems

- January 22

Minicourse: Comparison Theorems in Riemannian Geometry II (Xiaoxiao Li) Notes Problems

- January 26

Minicourse: Gromov-Hausdorff convergence (Xiaoxiao Li)

- February 2

Minicourse: Elliptic estimates and Regularities in Convergence Theory (Xiaoxiao Li) Notes

- February 5

Blaschke Conjecture (Spherical case) (Leandro Lichtenfelz)Notes

- February 12

The Toponogov theorem, with an application to positively-curved manifolds (Marco Radeschi) Notes

- February 19

Grove-Gromoll rigidity version of Berger’s sphere theorem I (Marco Radeschi) Notes Problems

- February 26

Grove-Gromoll rigidity version of Berger’s sphere theorem II (Marco Radeschi) Notes Problems

- March 5

An existence theorem of harmonic functions with polynomial growth (Shih-Kai, Chiu)

- March 12

Spring Break

- March 19

Extremal Metrics and Holomorphic Vector Fields (Ethan Addison)Notes Problems

- March 26

Extremal Metrics on Fibrations (Ethan Addison)Notes Problems

- April 2

No Seminar

- April 9

A Crash Course in Grassmannians (Michael Perelman) Notes

- April 16

On the theorem of Hsiang-Kleiner (Adam Moreno) Notes

- April 23

First Conformal Eigenvalue for the Laplace Operator on Surfaces (Samuel Pérez-Ayala) Notes

- April 30

Calabi-Yau metrics on Kummer surfaces as a model gluing problem (Xiaoxiao Li)