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Complex Analysis
This conference gathered together a small group of people with similar interests in the geometric function theory of several complex variables. While the speeches were of a specialized nature, the papers in the proceedings are largely of a survey and speculative nature. The volume is intended to serve both students and researchers as an invitation to active new areas of research. The level of the writing has been intentionally set in such a way that the papers will be accessible to a broad audience.
The Game of Anchors
Belarus experienced a sequence of currency crises during 2009-2014. Our empirical results, based on a structural econometric model, suggest that the activist wage policy and extensive state program lending (SPL) conflicted with the tightly managed exchange rate regime and suppressed monetary policy transmission. This created conditions for the unusually frequent crises. At the current juncture, refocusing monetary policy from exchange rate to inflation would help to avoid disorderly external adjustments. The government should abandon wage targets and phase out SPL to remove the underlying source of the imbalances and ensure lasting stabilization.
Potential Theory
Potential theory grew out of mathematical physics, in particular out of the theory of gravitation and the theory of electrostatics. Mathematical physicists such as Poisson and Green introduced some of the central ideas of the subject. A mathematician with a general knowledge of analysis may find it useful to begin his study of classical potential theory by looking at its physical origins. Sections 2, 5 and 6 of these Notes give in part heuristic arguments based on physical considerations. These heuristic arguments suggest mathematical theorems and provide the mathematician with the problem of finding the proper hypotheses and mathematical proofs. These Notes are based on a one-semester course given by the author at Brown University in 1971. On the part of the reader, they assume a knowledge of Real Function Theory to the extent of a first year graduate course. In addition some elementary facts regarding harmonic functions are aS$umed as known. For convenience we have listed these facts in the Appendix. Some notation is also explained there. Essentially all the proofs we give in the Notes are for Euclidean 3-space R3 and Newtonian potentials ~.
The Souslin Problem
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Category Seminar
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