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## Mobius Invariant Equations in Dimension Two

### Han Lu (Rutgers, USA)

#### Dienstag, 26. Januar 2021 16:30Uhr

Conformally invariant equations in $n\geq3$ have played an important role in the study of $\sigma_k$-Yamabe problem in geometric analysis. In this talk, we will discuss a class of Mobius invariant equations in dimension two. We will then present related properties for such equations, including Liouville type theorems, Bocher type theorems and existence of solutions. This is a joint work with Yanyan Li and Siyuan Lu.