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Zenith John's Nonsense

Algebraic Geometry Reading Seminar, Topics: Intersection Theory, 2022.9-2023.1

Aim Learning algebraic cycles and intersection theory in algebraic geometry. Time and Place Time: Every Tuesday, 09:50-11:25. Place: Ning Zhai(宁斋) W11 Tentative schedule Time Speaker Content 2022-09-13 Nantao Zhang Chapter 1 of Fulton 2022-09-20 Liyuan Ye Chapter 2 of Fulton 2022-09-27 Yuting Liu Chapter 3 of Fulton 2022-10-04 Yuting Liu, Yunling Chen continue, Chapter 4,5 of Fulton 2022-10-11 Yunling Chen continue 2022-10-18 Nantao

Posted by [Zenith John] on Tuesday, September 6, 2022
Last Modified on Friday, December 9, 2022

什么是代数几何？——写给非专业人士

我本科读的是生物专业，研究生转到了数学专业。在本科毕业的班级聚餐上，同学问我之后会做什么方向，我回答了代数几何。大家一脸茫然地问什么是代数几

Posted by [Zenith John] on Saturday, March 19, 2022

一些大佬对数学研究生的建议

我整理了我找到的一些研究者对于数学研究生的建议，其实都大同小异。 Terry Tao (陶哲轩) https://terrytao.wordpress.com/career-advice/ 里面还包括了给高中生和本科生的建议，非常的全面，强烈建议读一

Posted by [Zenith John] on Saturday, January 1, 2022

关于量子场论的几个注记

表示论在量子场论中的作用我们知道在量子场论之中，量子态用 Hibert space 的向量来表示，而算符正是 Hilbert space 上的算子。在量子场论中有一些特殊的变换，它们是由 Po

Posted by [Zenith John] on Saturday, January 1, 2022

Enumerative Geometry Seminar, Topic: Homological Mirror Symmetry, 2022.2-2022.6

Aim Provide attendees enough information of Fukaya category and derived category of coherent sheaves to understand the main statement of homological mirror symmetry.

D^{\pi}{\rm Fuk}(X) \cong D^{b}{\rm Coh}(X^{\vee})

Also, I hope this learning seminar will give us a good chance to communicate with others in Tsinghua University, so feel free to invite others! Time and Place Start from 2022.02.27. Every Sunday, 09:30-11:00 Jinchunyuan West Building, Conference Room 1. (近

Posted by [Zenith John] on Friday, December 31, 2021
Last Modified on Tuesday, January 4, 2022

Questions of interest

[2021-12-31 Fri 14:25] This page serves as a list of some problems I care about with some additional remarks. For most papers referenced, I only read the reviews or abstracts. Donaldson-Thomas type theory for CY 4-folds The idea of Donaldson-Thomas theory originated in [1], where Donaldson and Thomas suggested some gauge-theoretic analog of 3 dimensional Chern-Simons theory and 4 dimensional Donaldson theory to higher dimensional manifolds, for example Calabi-Yau 3-fold,

G_{2}

Spin(7)

manifold (also higher dimesional CY varieties).

Posted by [Zenith John] on Friday, December 31, 2021
Last Modified on Friday, December 9, 2022

浅谈代数几何

从第一次学习代数几何到现在差不多过了一年的时间了。从最开始的一脸懵，到现在终于了解了代数几何的一些想法，过程可以说是非常的不容易了。正好在准

Posted by [Zenith John] on Thursday, December 30, 2021

Mathematics Notes

General Mathematics Existence proof [2021-09-27 Mon 20:43] One kind of the importance theorem in mathematics is the existence theorem which states something with certain property exists. Basically, there are two kinds of proof of the existence theorem. Construction. E.g. existence of smooth but not differentiable function. Proof by contradiction. E.g. infiniteness of prime numbers, Brouwer fixed point theorem. Flavors of mathematics [2021-10-15 Fri 17:44] I want to quote the word

Posted by [Zenith John] on Tuesday, August 31, 2021
Last Modified on Thursday, December 23, 2021