Gelfand-Kirillov bound for p-adic Banach representations with infinitesimal character

par Reinier Sorgdrager

jeudi 30 avr. 2026, 11:15 → 12:15 Europe/Paris

112 (Braconnier)

The Gelfand-Kirillov dimension is an invariant of representations of p-adic Lie groups on p-adic Banach spaces. Recently, it has received much interest in the context of the p-adic Langlands program.

I will introduce this dimension and then try to explain the following theorem: suppose p>2 and let K be a p-adic field; an admissible p-adic Banach representation of GL_2(K) with an infinitesimal character has GK-dim at most [K:Q_p].