Abstract
This is an account of a lecture given at the 7th ISAAC Congress, where I described a joint work with E. Leichtnam, X. Tang and A. Weinstein giving a proof of the Atiyah-Weinstein index formula. This concerns the index of an operator closely related to Toeplitz operators, for which analogues of the Atiyah-Singer index formula do not make sense. Instead we used an equivariant asymptotic index formula, which does; it is an outgrowth of Atiyah and Singers theory of equivariant index for transversally elliptic pseudodifferential operators.
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