Question: How do bodyweight categories differ for men and women?
About the article "Olympic weightlifting", section "Abstract".

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The main function of the Wilks formula is in weightlifting involved in Powerlifting contests.
It is used to identify the best lifters across the different bodyweight categories and can also be used to compare men and women lifters as there are formulas for both genders.
First, second and third places on the winner’s podium within their own age, bodyweight and gender classes are awarded to the competitors who lift the most weight respectively.
Where two lifters in a class achieve the same combined total lifted weight the lighter lifter is determined the winner.
The Wilks formula comes into play when comparing and determining overall champions across the different categories.
The formula can also be used in team and handicap competitions where the team includes lifters of significantly varying bodyweights.
The Wilks formula like its predecessors, the O'Carroll and Schwartz formulas, were set up to address the imbalances whereby lighter lifters tend to have a greater power-to-weight ratio ... lighter lifters tending to lift more weight in relation to their own bodyweight.
This occurs for a number of reasons relating to simple physics, the nature of the makeup and limitations of the human skeletal and muscular system and, the shorter leverages of smaller people.
This phenomenon can be seen by looking at the current men's senior world powerlifting records.
http://www.powerlifting-ipf.com/Records.44.0.html Note the totals section and that lighter lifters below 100 kg bodyweight achieve totals in excess of ten times bodyweight whereas heavier lifters do not.
The Wilks system is primarily a handicapping process that provides an adjusted statistical method to compare all lifters of varying classes and groups on an equal standing and makes allowances for the disparities.
Wilks charts and a calculator are freely available on the website of the International Powerlifting Federation (IPF).
http://www.powerlifting-ipf.com/Downloads.55.0.htmlAccording to this setup, a male athlete weighing 320 pounds and lifting a total of 1400 pounds would have a normalized lift weight of 353.0, and a lifter weighing 200 pounds and lifting a total of 1000 pounds would have a normalized lift weight of 288.4.
Thus the 320 pound lifter would win this competition.
As you might have noticed the lighter lifter is actually stronger for his bodyweight, with a total of 5 times his own weight, while the heavier lifter could only manage 4.375 times his own bodyweight.
In this way, the "Wilks Coefficient" places a greater emphasis on absolute strength, rather than ranking lifters solely based on the relative strength of the lifter compared to bodyweight.
This creates an even playing field between light and heavyweight lifters—the lighter lifters tend to have a higher relative strength level in comparison to the heavyweight lifters, who tend to have a greater amount of absolute strength. 
Due to the difficulty of the exercise, it is common to begin training with simpler, related movements.
Methods of preparing without equipment (bodyweight exercise) include holding a static handstand position, performing the movement with a reduced range of motion, or performing only the eccentric portion of the movement.
Preparing with weight-lifting (overhead press) is also common for strengthening the muscles involved, for those who lack adequate balance or who cannot support their bodyweight on their hands.
When one can press their bodyweight, they have developed sufficient strength to do a handstand push up and then need to learn how to balance and exert themselves while inverted. 
The way gender is constructed for an individual depend on gendered interactions the individual has with others as well as other identities or roles he or she may have.
Gender, race, class, and other oppressions are all potential omnirelevant categories, though they are not ALL identically salient in every set of social relationships in which inequality is done.
Multiple oppressions are not seen as having “additive” or “multiplicative” effects but are seen as simultaneously depending on each other to create a unique form of oppression.
Although West and Fenstermaker do not elaborate on exactly how intersectionality can be incorporated into social constructionist theory, they do say that intersecting social identities are constant “interactional accomplishments” (p. 96).
While men and women are held accountable for normative conceptions of gender, this accountability can differ in content based on ethnicity, race, age, class, etc.
Hurtado argues that white woman and women of color experience gender differently because of their relationship to white men and that both groups of women are used to substantiate male power in different ways.
Women of color are subordinated through rejection, or denial of the “patriarchal invitation to privilege”.
White men see women of color as workers and objects of sexual aggression; this allows the men to display power and sexual aggression without the emotional attachment that they have with white women.
White women are accountable for their gendered display as subservient to white men while women of color are held accountable for their gendered performance as sexual objects and as wikt:recalcitrant and wikt:bawdy women in relations with white men.
West and Fenstermaker conclude that doing gender involves different versions of accountability, depending on women’s “relational position” to white men. 
Weightlifting is part of the Olympic Games program since 1896.
Weightlifting at the 1896 Summer OlympicsIn the sport of weightlifting two (2) lifts are recognises which must be executed in the following sequence:  The Snatch  The Clean & Jerk In the sport of weightlifting, competitions are organised for men and women.
The athletes compete in specified bodyweight categories (eight men's and seven women's ) and age groups (Youth: 13–17 years of age; Junior: 15–20 years of age; Senior: 15 years of age; Masters: 35 years of age). 
Bodyweight exercises are strength training exercises that do not require free weights; the practitioner's own weight provides the resistance for the movement.
Movements such as the push-up, the pull-up, and the sit-up are some of the most common bodyweight exercises.
In general, increasing the amount of repetitions will focus on improving endurance, while strength gains are made through increasing the intensity of the exercise through decreasing leverage and working at the ends of range of motion.