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# Abstract Sascha Orlik

Sascha Orlik will speak on

Equivariant vector bundles on Drinfeld’s halfspace over a finite field

Let $X \subset P^d_k$ be Drinfeld’s halfspace over a finite field k and let E be a
homogeneous vector bundle on $P^d_k$. The paper deals with two different descriptions
of the space of global sections $H^0(X,E)$ as $GL_{d+1}(k)$-representation. This is an
infinite dimensional modular G-representation. Here we follow the ideas of previous work