Elections and Strategic Voting

Eric S. Maskin
Institute for Advanced Study
May 6, 2011

U.S. presidential elections often drive many citizens to vote strategically—to vote for a candidate they do not like in hope of preventing someone they dislike even more from winning. Many who favored Ralph Nader in the 2000 election ended up voting for Al Gore (though not enough to stop George W. Bush from getting elected). And a lot of those inclined toward Ross Perot in 1992 voted for George H. W. Bush instead (though Bill Clinton still won). An electoral system that induces widespread strategic voting, which is hardly unique to America, is undesirable for many reasons. Most obviously, it deprives citizens of the chance to express their views without fear that doing so will lead to the election of someone they strongly oppose. In this lecture, Eric Maskin, Albert O. Hirschman Professor in the School of Social Science and winner of the 2007 Nobel Memorial Prize in Economic Sciences, discusses how to design electoral systems that do not put voters in this bind.

Serre's Conjectures on the Number of Rational Points of Bounded Height

Per Salberger
Chalmers University of Technology
April 28, 2011

JOINT IAS/PU NUMBER THEORY SEMINAR

We give a survey of recent results on conjectures of Heath-Brown and Serre on the asymptotic density of rational points of bounded height. The main tool in the proofs is a new global determinant method inspired by the local real and p-adic determinant methods of Bombieri-Pila and Heath-Brown.

On the Comparison of Trace Formulas

Jim Arthur
University of Toronto
April 28, 2011

GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR

We shall recall the spectral terms from the trace formula for G and its stabilaization, as well as corresponding terms from the twisted trace formula for GL(N). We shall then discuss aspects of the proof of the theorems stated in the first talk that are related to the comparison of these formulas.

Classification of Representations

Jim Arthur
University of Toronto
April 28, 2011

GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR

Suppose that G is a connected, quasisplit, orthogonal or symplectic group over a field F of characteristic 0. We shall describe a classification of the irreducible representations of G(F) if F is local, and the automorphic representations of G in the discrete spectrum if F is global. The classification is by harmonic analysis and endoscopic transfer, which ultimately ties the representations of G to those of general linear groups.