Two Modern Developments in Matching Theory

Modern Developments in Invariant Theory

Invariant theory, which is almost one and a half centuries old, is now going through a new period of vigorous development: a satisfactory comprehension of a general picture within the classical situation has been attained and the new important directions, methods, and applications are being discovered. Now, as a matter of fact, invariant theory is identified with the theory of algebraic group a...

Modern Developments in the Theory and Applications of Moving Frames

This article surveys recent advances in the equivariant approach to the method of moving frames, concentrating on finite-dimensional Lie group actions. A sampling from the many current applications — to geometry, invariant theory, and image processing — will be presented.

modern developments in diabetes treatment

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Modern Developments

Recent Developments in Matching Theory and Its Practical Applications

In recent years, many developments have been made in matching theory and its applications to market design. This paper surveys them and suggests possible research directions. The main focus is on the advances in matching theory that try to solve market design problems in practical markets where the classic theory is inapplicable. Specifically, we discuss the recent theory of matching in large m...