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International Short-School/Conference 

on Affine Algebraic Geometry & the Jacobian Conjecture

Chern Institute of Mathematics, Nankai University, Tianjin, China.

July 14-25, 2014

Affine Algebraic Geometry (AAG) is a new subbranch of Algebraic Geometry, which since 2000 has obtained its own Mathematics Subject Classification. It was motivated by some “notorious” open problems such as the Jacobian Conjecture; the Tame Generators Problem; the Cancellation problem; the Embedding Problem and several linearization problems. To treat these problems, a variety of techniques and approaches have been developed, which has already led to some remarkable successes: the solution of the Markus Yamabe Problem (the Jacobian Problem for differential equations), the solution of the Tame Generators problem (Nagata’s Conjecture), a proof of the linearization of $\mathbb C^*$ actions on $\mathbb C^3$ and very recently the solution of the Cancellation problem in positive characteristic.

The study of the Jacobian conjecture revealed the connections of the conjecture with many seemingly unrelated   mathematics areas such as the Burgers and Heat PDEs, harmonic polynomials, non-commutative symmetric functions, the polynomial moment problem, etc. It also led recently to the study of a new notion, namely, Mathieu subspace, which generalizes the notion of an ideal.  The new theory of Mathieu subspaces provides a much more general framework in which various open problems, including the Jacobian, can be studied. 

The field of AAG is a rapidly growing research area that attracts senior researchers as well as young graduate students. During this short-school/conference most of the topics described above will be discussed by several of the world’s experts. It will give young researchers an excellent chance to see the state of the art of research in these very active and challenging areas. The short-school/conference is also aimed to promote the future collaborations of mathematicians from China with mathematicians from other countries in these areas.   

 

 Academic Committee:

  • Hyman Bass, University of Michigan, USA. Email: hybass@umich.edu
  • Harm Derksen, University of Michigan,  USA. Email: hderksen@umich.edu
  • Adrien Dubouloz, Institut de Mathematiques de Bourgogne,  France. Email: adrien.dubouloz@u-bourgogne.fr
  • Lenny Makar-Limanov, Wayne State University, USA.  Email: lml@wayne.edu
  • Zhongming Tang,  Suzhou University, China. Email: zmtang@suda.edu.cn
  • David Wright, Washington University in St. Louis, USA.  Email: wright@math.wustl.edu 

Organizing Committee:

  • Xiankun Du, Jilin University, China. Email: dxk@jlu.edu.cn
  • Arno van den Essen, Radboud University Nijmegen, The Netherlands. Email: A.vandenEssen@math.ru.nl
  • David Finston, Brooklyn College, Brooklyn, USA. Email: DFinston@brooklyn.cuny.edu
  • Stefan Maubach, Jacobs University, Germany. Email: s.maubach@jacobs-university.de
  • Yucai Su, Tongji University, China. Email: ycsu@tongji.edu.cn
  • Wenhua Zhao, Illinois State University, USA. Email: wzhao@ilstu.edu 

Short-School Lecturers:

  • Harm Derksen, University of Michigan,  USA. Email: hderksen@umich.edu
  • Adrien Dubouloz, Institut de Mathematiques de Bourgogne,  France. Email: adrien.dubouloz@u-bourgogne.fr
  • Arno van den Essen, Radboud University Nijmegen, The Netherlands. Email: A.vandenEssen@math.ru.nl
  • Stefan Maubach, Jacobs University, Germany. Email: s.maubach@jacobs-university.de
  • David Wright, Washington University in St. Louis, USA.  Email: wright@math.wustl.edu
  • Yosef Yomdin, The Weizmann Institute of Science, Israel. Email: yosef.yomdin@weizmann.ac.il
  • Wenhua Zhao, Illinois State University, USA. Email: wzhao@ilstu.edu

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