数学与科学前沿交叉平台建设

The integration among different fields of mathematics and the crossing between mathematics and other sciences are new tides in our era. Along this theme, this research project is designed to have four parts: algebra, geometry and number theory; geometry and physics; mathematical biophysics; statistics in life sciences and environmental sciences. With a strong practical background and broad prospects of application, this research will stimulate rich and profound mathematical problems and be beneficial to both fields. With a long-term accumulation in research and a rich tradition of academic exchanges, the mathematics faculty at Peking University is very strong in these areas, has made fruitful achievements, and possesses excellent conditions for research collaborations. With the successful experience in executing series of academic activities in 2015, we will continue the project in a broader way. With the core members from Peking University, this project will involve many experts in all parts of the world to make a coordinated effort in research in the areas mentioned above. In particular this project aims to attract and to nurture young talents. To this end, a subject will be designated in each semester to host visitors and to run workshops of various durations. Interdisciplinary cooperations in research among members, visitors and students are strongly encouraged and assisted. It is our hope that the leading edge of Peking University in these four areas will be more prominent after 3-5 years of efforts and an interdisciplinary platform for mathematics and frontiers of science will be constructed at Peking University with an international impact.

数学自身内部各领域的融合及其与其他科学之间的交叉已经成为当今数学及应用数学的重要发展方向。本项目的科学研究和学术活动将围绕下面四个交叉专题展开：代数、几何与数论；几何与物理；数学与生物学的交叉；统计与生物及环境科学的交叉。这些专题都有着鲜明的实际背景和广阔的应用前景,将为数学及应用数学提供丰富而深刻的数学问题并推进彼此的共同发展。北京大学数学学科在这几个方面具有长期的学术积累,取得了丰富的科研成果并建立了相应的科研团队。本项目以北大数学学科部分教师为核心,在2015年成功举办相关系列活动的基础上，拟继续推进执行的广度和深度。通过积极组织国内外专家开展形式多样的学术活动,促进实质性的合作研究,取得原创性科研成果,培养更多青年学术骨干,推动多学科多领域的交叉融合。经过3至5年的努力,使北大在这几个方向的发展更加突出,成为有国际影响的研究基地。