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More than 100 years ago, Albert Einstein predicted that light is deflected by extremely massive objects, but there is no way to test such powerful effects on Earth. Instead, astronomers turn their att...
Conformal field theories represent a very active research field worldwide with many international experts working on various aspects of the topic. Progress during the past several years has led to man...
New research challenges the prevailing theory that the unique nature of Earth’s iron was the result of how its core was formed billions of years ago.The study opens the door to competing theories abou...
Excited state electronic structure theory is one of the most active research fields in condensed matter physics and quantum chemistry, and plays a critical role in understanding electronic and optical...
Teichmuller与Grothendieck- Teichmüller理论研讨会将于2016年7月24日-30日在南开大学陈省身数学研究所举行
In this paper, we study VC-minimal theories and explore related concepts. We first define the notion of convex orderablity and show that this lies strictly between VCminimality and dp-minimality. To...
We give an explicit AE-axiomatization of the almost sure theories of sparse random graphs G(n, n−α) of Shelah-Spencer. In the process we give a method of constructing extensions of graphs whos...
The present paper is a direct continuation of [2], where it is shown that any strongly minimal trivial theory is model complete after naming constants for a model. In this paper we show that this re...
We prove that if M is any model of a trivial, strongly minimal theory, then the elementary diagram Th(MM ) is a model complete LM -theory. We conclude that all countable models of a trivial, strong...
Borel complexity of complete, first order theories(status report).
We study ℵ0-stable theories, and prove that if T either has eniDOP or is eni-deep, then its class of countable models is Borel complete. We introduce the notion of λ-Borel completeness and pro...
Given a complete, superstable theory, we distinguish a class P of regular types, typically closed under automorphisms of C and non- orthogonality. We define the notion of P-NDOP, which is a weakenin...
We work in the context of ω-stable theories. We obtain a natural, algebraic equivalent of ENI-NDOP and discuss recent joint proofs with S. Shelah that if an ω-stable theory has either ENI-DOP or is ...
We characterize the stable theories T for which the saturated models of T admit decompositions. In particular, we show that countable, shallow, stable theories with NDOP have this property.

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