This lecture focuses on promoting the spirit of "Two Bombs, One Satellite," a symbol of dedication and innovation in China's history, which has significantly influenced the development of the country's high-tech sectors. The session will explore how this pioneering spirit can continue to inspire current technological advancements and strategic achievements in China.

The German mathematician Felix Klein once remarked, "Mathematics is humanity's most sublime intellectual achievement and the most unique creation of the human spirit. Music can inspire or soothe the emotions, painting delights the eye, poetry touches the heart, philosophy grants wisdom, technology improves material life, but mathematics can provide all of the above." This lecture will briefly explore the beauty, truth, fun, challenges, and utility of mathematics, along with various mathematical stories from ancient to modern times and from cultures around the world.

In this talk, we introduce a discrete model with periodic parameters to depict the Wolbachia spread dynamics in mosquito populations in cyclic environments. This work modifies the models established in the existing literature that did not take into account the variation of parameters with environmental periodic changes due to seasonality and other factors. When the parameters in our model are constants, it has been extensively studied and widely used.  We present a conjecture about the existence of at most two periodic solutions worthy of further study, and show that the conjecture is true for the special case of 2-periodic parameters.  Numerical simulations are also provided to illustrate the occurrence of periodic phenomena.