Self-Perception and Identity - The speaker emphasizes the importance of self-acceptance and authenticity in a rapidly changing world [1] - The speaker encourages individuals to find their own rhythm and integrate trends into their lives in a unique way, rather than blindly following them [1] - The speaker advocates for embracing experimentation and personal interpretation to create one's own "flow-shape" [1] Personal Growth and Experience - The speaker reflects on their journey as an actress and the tendency to seek external validation [1] - The speaker highlights the realization that genuine expression comes from being natural and not performing for others' approval [1] - The speaker shares their experience as a versatile entertainer in singing, acting, and hosting, aiming to inspire others to discover their true selves through self-reflection and exploration [1] Values and Attitude - The speaker suggests that in pursuing passions, individuals naturally embody their desired selves [1] - The speaker believes that trends should not be restrictive, and there is no standard answer to trends [1] - The speaker values persistence and attitude, suggesting they are important in pursuing one's passions [1]

梦晨 一水 发自 凹非寺 量子位 | 公众号 QbitAI 65年数学难题新突破！ 来自复旦大学的林伟南、王国祯以及UCLA的徐宙利合作， 解决了126维空间的Kervaire不变量问题 。 三位作者都是北大数院出身，该成果曾作为北大建校126周年贺礼做报告，现在完整论文终于上传arXiv。 △ 图源：北京大学数学科学学院 他们这次解决的是高维拓扑学中的核心难题之一，也被称为"末日假说"：如果该假说被证伪，许多基于它建立的所有其他猜想都将被推翻！ Kervaire不变量用于判断流形能否通过特定方法转化为球体。当一个流形可以精确地转化为球体时，该不变量等于零；无法转化为球体时，该 不变量等于1。 到了1960年，数学家们已经证明Kervaire不变量为1的流形存在于维度2、6、14、30中。 前面的问题背景介绍都看不懂也没关系，观察这四个数字很容易得出他们似乎满足2^n-2的规律。 数学家们很自然的假设这种流形还会存在于62、126、254等维度，但证明止步于62维，后面停滞了几十年未取得进展。 直到2009年，终于有人证明了大于等于254维时这样的流形不存在，至此，126维成为了全部问题的最后一块拼图。 林伟 ...