News release

An SCMS paper was published by Acta Mathematica, a top international mathematical journal

Prof. Guozhen Wang, jointly with B. Gheorghe and Z. Xu, has published a research paper online by Acta Mathematica. It is the sixth published papers, authored by researchers in Shanghai Center for Mathematical Sciences (in short SCMS), on one of the top-four international mathematical journals.

 

The paper is "The special fiber of the motivic deformation of the stable homotopy category is algebraic " (https://dx.doi.org/10.4310/ACTA.2021.v226.n2.a2). It defined the Chow t-structure in the motivic stable homotopy category. Using this t-structure, Prof. Wang and his group proved that the special fiber of the motivic deformation over the complex numbers is algebraic. Along the way, they also showed that the modulo tau motivic Adams spectral sequence is isomorphic to the algebraic Novikov spectral sequence. This result gives a new method for computing the stable homotopy groups of spheres. It is a mojor breakthrough in homotopy theory.

 

Prof. Wang received his bachelor's and master's degrees from Peking University, in 2008 to 2011; received his Ph.D. from MIT in 2015. After, he became a postdoctoral fellow at the University of Copenhagen. In 2017, Prof. Wang joined SCMS as a postdoctoral fellow. Shortly after, he became a young researcher. Currently, he is an associate professor at SCMS.

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