Ax-Schanuel and exceptional integrability

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Jonathan Pila, Oxford
Fine Hall 214

In joint work with Jacob Tsimerman we study when the primitive of a given algebraic function
can be constructed using primitives from some given finite set of algebraic functions, their inverses,
algebraic functions, and composition. When the given finite set is just {1/x} this is the classical problem
of "elementary integrability" (of algebraic functions). I will discuss some results, including a decision procedure
for this question, and further problems and conjectures.

Meeting ID:  920 2195 5230

Passcode:    The three-digit integer that is the cube of the sum of its digits.