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... Ambidexterity theorem, certain axiomatic structures in high-order category theory are involved. I want to further explore the performance of these category theory axioms in singular geometric situations, and whether there are some implicit assumptions that fail in more complex geometric contexts?

Although my idea may definitely seem naive to you, I think it has some exploratory value. The proof of the Geometric Langlands Conjecture is very complex, and the Ambidexterity theorem is a key ...

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MTL - Today I Will Also Be the Male Protagonist’s Rivalv2 Chapter 1
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Su Yu died of alcohol poisoning on the day she received the actress trophy she was thinking of.
Then she was found by a stupid system.
System: Join the Women’s Match League! Enter all the worlds to complete tasks, and I can make you reach the pinnacle of your life!
Su Yu: But I was already at the peak of my life, so I quit!
Even if she was reluctant, Su Yu entered the world in order to survive.
first world
The task assigned to her by the system: take everything from the male protagonist!
Su Yu robbed his fans and his money, and finally looked at the fair girl and fell silent.
Su Yu asked in embarrassment: Do you want to grab this too?
System: Grab!
second world
Looking at the familiar girl, Su Yu rubbed her brows, “Are you still robbing?”
System: Grab!
Su Yu: Would you say anything else?
System: Go!
loop*
Nth world
Su Yu habitually wanted to continue grabbing, but suddenly found that this time the girl had a memory.
System: Grab! Go!
Su Yu shrugged: Run!

The first world: the entertainment industry
Flirting without knowing it
The second world: giants
White Lotus scheming fake princess X arrogant and domineering eldest
The Third World: Campus
Vocational high school brawler X key high school three good students / first grade
The Fourth World: The Republic of China
A Song of Allure Peerless Famous Actor X Jingui Self-Professional Rich Miss
The Fifth World: The West
Paranoid Vampire Duke x White and Soft Human Girl
The Sixth World: Antiquity
Bai Yueguang soft bag queen x evil concubine
The seventh world: Immortal king with few desires x apprentice who wants to climb the bed

Content tags: Soft love system sweet text fast wear
Search keywords: Protagonist: Su Yu ┃ Supporting role: Huo Shu ┃ Others:

- Description from novelbuddy

Taking advantage of the beauty being poor, fooling her into being my girlfriendChapter 1070 - 161 Final Chapter
SSS Cultivation: I Can Conquer Earth's Rank SystemChapter 38: Mecha-men Alert
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Taking a quick peek into life on normal planet earth, a vicious alien race called the Xollante attacked the planet with their nuclear weapon. But that's not the story...Shortly before the alien attack, the story was based on an orphan boy named Leo Rayden who somehow discovered that he possessed interstellar communication ability. With this ability, he communicated with a being from a planet friendly with Earth. The being told him that he must warn earthlings of the attack from the Xollante race. But Leo saw himself too young and too weak to carry out this assignment. So, neglecting the warning, the Xollante finally arrived on Earth's atmosphere and just like that, Northern Earth became destroyed... The Space Guardians of Earth couldn't stand the almighty Xollante fleet.And to make matters worse, Earth's core became weak and split.But that is still not the story...A second era now was set in place after the nuclear attack. Earth became split from the core after the nuclear attack and slowly, the Northern and the Southern part of earth started drifting apart. The wild Xollante race occupied the North, while the surviving earthlings occupied the South.But now Earth must do everything to destroy the Xollante race and send them away from the planet. And that was when another scheme was set.Earth had discovered a Lone and barren mutant planet called Luxus which gifted earthlings with superpowers. Humans call these superpowers “Quirks”. So, for the grand scheme, Earth's authorities started sending men and women on the planet to become mutated in readiness for the huge war that was looming against the Xollante. Earth was now full of mutants, and soon enough, non-mutants became outcasts in the society. The system only favoured the powerful and scorned the weak. And that was when Leo woke from his coma of 78 years on planet Luxus.And this, guys, is where the story starts...Leo managed to survive the nuclear attack with some strange hidden quirk he didn't know he possessed. When he opened his eyes 78 years later, he was on planet Luxus, being taken care of by his mind communication partner, Loca. But there was no time to frolic. He has to get back to Earth and try to rediscover that powerful quirk that saved him from the nuclear attack. To do this, he must attend Earth's quirk academy to learn all he needs to get stronger. He knew somewhere within him lies the most powerful quirk ever in existence, and his only aim is to rediscover it. He must become stronger, beat earth's power system and one day help the top earth Avengers fight off the Xollante race.But first, he must overcome every obstacle thrown at him from his fellow Earthlings and fellow mutants before he could even think of fighting the aliens.He must attain the highest rank level possible to atone for his sin as a child for not saving Earth when he was informed.His guilt being the major drive, he soon found that the highest rank was within reach of him, but can be pay the price?This story incorporates the use of hi-tech weapons and ancient weapons, and the use of acquired quirks to wield these weapons to victory. It is truly a story about weak-to-strong, action, survival, mutants, adventure, academy and superpowers.A mix of sci-fi and fantasy, yes.And yes again, local beast weapons have been smuggled into sci-fi. Let's deal with it.

Death Mage with an SS-Rank TalentChapter 295
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The World was thrown into chaos with the arrival of monsters but the humans were given a chance of awakening powers.The MC who was once used to read stories like that was now reincarnated in such world.This is his story on how he would proceed in this troublesome world.