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Questions about modular forms and related areas

10 votes

Etymology of cuspidal representations

To reinforce what's already been said and add some references, I'd emphasize first that Harish-Chandra's "philosophy of cusp forms" was indeed a driving force in the study of representations over both …
Jim Humphreys's user avatar
3 votes

There is no lattice in PSL(2,R) which contains PSL(2,Z) properly?

The question in the header is interesting, but Scott's answer is directed at a somewhat different arithmetic question (also interesting). For your groups $G$ and $\Gamma_1$, or the similarly behaved …
Jim Humphreys's user avatar
2 votes

Modular Forms and Root Systems

As others have pointed out, the word "lattice" in this context needs to be used with care. Leaving aside the use of this word to describe certain partially ordered sets, lattices in Euclidean space …
Jim Humphreys's user avatar
7 votes
Accepted

Congruence Subgroups as Open Subgroups of the Modular Group Under the Right Topology

To expand Henry Wilton's concise answer, the Congruence Subgroup Problem has a distinguished history including important work by Serre and a number of others (exploiting effectively the congruence top …
Jim Humphreys's user avatar